the improved saw blade of the present invention is shown in five embodiments in the figures although other embodiments are contemplated as is apparent to one of skill in the art . specifically , the first embodiment of the improved saw blade is indicated generally at 20 as shown in fig1 - 2 ; a second embodiment of the improved saw blade is indicated generally at 120 as shown in fig4 - 5 ; a third embodiment of the improved saw blade is indicated generally at 220 as shown in fig7 - 8 ; a fourth embodiment of the improved saw blade is indicated generally at 320 as shown in fig9 - 10 ; and a fifth embodiment of the improved saw blade is indicated generally at 420 as shown in fig1 - 12 . the first , second and third embodiments , respectively saw blades 20 , 120 and 220 , are embodied as standard seven - and - one - quarter - inch diameter saw blades although each may be of any other diameter used or contemplated by those of skill in the art . the fourth embodiment , saw blade 320 , is embodied as a ten - inch diameter saw blade and the fifth embodiment , saw blade 320 , is embodied as a twelve - inch diameter saw blade , although each may be of any other diameter used or contemplated by those of skill in the art . the saw blade , whether embodied as blade 20 , 120 , 220 , 320 or 420 , is a flat , circular disc 22 , made of steel or other like metals , with a center arbor hole 24 as is well known in the art . the disc 22 includes a peripheral edge 30 with a plurality of circumferentially - spaced teeth projecting radially outwardly therefrom for cutting and generally referred to as 32 . each tooth 32 has a cutting edge 44 and is more fully described below . in accordance with one of the features of the invention , the blade is divided into an even number of groups or sections , and in more detail blades 20 and 220 in respective first and third embodiments are each divided into six sections while blades 120 , 320 and 420 in respective second , fourth and fifth embodiments are each divided into eight sections . each section along the peripheral edge has a matching or copy exact section diametrically opposite thereto such that a symmetry - like line divides the blade into two halves of a repeating pattern . in further accordance with one of the features of the invention , the sections in each half do not have the same number of teeth or teeth of the same size as the other sections . more particularly , there are a different number of cutting edges 44 in each section in each half and the circumferential width between each adjacent cutting edges 44 within a given section is different than that of each other section in a given half . blade 420 of the fifth embodiment is a partial exception to this rule regarding the differing number of teeth or cutting edges from group to group . specifically , blade 420 includes respectively within its four sections on one half of the blade twelve cutting edges , eight cutting edges , twelve cutting edges and three cutting edges . thus , while the number of cutting edges ( and teeth ) within each section changes between adjacent sections , the first and third sections have the same number of cutting edges . however , the size of the teeth in each section of blade 420 are different from those in each other section , as with the other blades . preferably in accordance with another feature of the invention , the size of the teeth remains the same and / or decreases in each section from a largest size to a smallest size in the direction of cutting ( or vice versa ), while the number of teeth increases or remains the same in each section in the direction of cutting ( or vice versa respectively ). more particularly , the circumferential width between each adjacent pair of cutting edges 44 remains the same and / or decreases in each section from largest to smallest in the direction of cutting ( or vice versa ), while the number of cutting edges 44 increases or remains the same in each section in the direction of cutting ( or vice versa respectively ). once again , blade 420 of the fifth embodiment is a partial exception to this preferred rule . while the size of the teeth follow the rule , the number of teeth does not , because , as described in the previous paragraph , blade 420 has a “ twelve - eight - twelve - three ” cutting edge pattern between respective adjacent sections . each tooth 32 includes a tooth body 40 defined as a sloped face or land 42 culminating in outwardly extending cutting edge 44 . on the opposite side of cutting edge 44 from land 42 is a notch 54 which communicates with the land 42 of an adjacent tooth 32 . notch 54 thus separates the cutting edge 44 of one tooth 32 from the land 42 of an adjacent tooth 32 . more specifically , notch 54 includes a radial face 46 extending inwardly toward hole 24 adjacent cutting edge 44 of one tooth 32 into a bend 56 which communicates with land 42 of an adjacent tooth 32 . land 42 may include an optional additional cutting or finishing edge 52 in the middle thereof for reducing kick - back and providing smoother cuts , whereby such land 42 in the embodiment shown includes a first steep tapered section 48 and a second slightly tapered section 50 separated by the additional cutting edge 52 although other configurations are contemplated including only one tapered section of a constant taper or a gradually changing taper . specifically , land 42 may be any form of a surface behind tooth 32 that transitions into notch 54 . cutting edge 44 may be a sharpened edge , or , as in the embodiments , an l - shaped seat 60 in which an insert such as a carbide or diamond tip 62 is seated and secured . the insert has a cutting face 64 . where an insert is used , cutting edge 64 becomes the cutting edge of a tooth 32 and thus the term “ cutting edge ” includes “ cutting face ” in that scenario . generally , it is preferred that tooth 32 include a cutting edge 52 , as shown in fig8 , which helps remove saw dust from blade 220 , 320 or 420 to enhance the cutting effect of cutting edge 44 or cutting edge 64 . alternately , cutting edge 52 may be an anti - kickback hump , as shown in fig1 , which limits the rate of cutting to prevent the saw blade from kicking back and causing injury . smaller - size teeth are simply too small to practically accommodate a cutting edge 52 , as seen with the teeth in section 380 on blade 320 and in section 480 on blade 420 . in accordance with yet another feature of the invention , the hook angle α of each tooth is most preferably between 15 ° ( fifteen degrees ) and 25 °( twenty - five degrees ). the hook angle α is specifically the angle between the tangent to the cutting face 44 and a radius line through hole 24 . in accordance with yet one more feature of the invention , it has been discovered that alternating the number of teeth or cutting edges in adjacent sections from odd to even provides additional benefits including noise reduction . blade 120 of the second embodiment is the only blade of those described herein adhering to this pattern . however , it has also been found that noise and vibrations are reduced with blades including at least one section having an even number of cutting edges and at least one section having an odd number of cutting edges . in more detail as to the first embodiment of the blade referred to as 20 , teeth 32 are arranged in a unique eighteen - tooth design that is divided into two copy exact sections , namely a first side 70 a and a second side 70 b divided by axis 72 . since the blade as shown in fig1 - 2 has a right and left copy exact side ( sides 70 a and 70 b respectively ), only the right side will be described below ( except where necessary to refer to the other or left side where transitions occur ). the first side 70 a includes nine teeth , namely teeth 32 a , 32 b , 32 c , 32 d , 32 e , 32 f , 32 g , 32 h , and 321 separated by voids 54 . in accordance with another feature of the invention , the nine teeth 32 a , 32 b , 32 c , 32 d , 32 e , 32 f , 32 g , 32 h , and 321 of each side 70 a and 70 b are not identical in size and spacing . specifically in the embodiment shown , first side 70 a is divided into three sections 80 , 82 and 84 ( and thus the saw blade 20 has six sections over sides 70 a and 70 b ) of varying circumferential distance with differing number of teeth and size of teeth in each . section 80 includes cutting edges 44 of five teeth 32 , namely teeth 32 a , 32 b , 32 c , 32 d , and 32 e . section 80 also includes the trailing components of four teeth 32 , namely teeth 32 b , 32 c , 32 d , and 32 e , so that those four teeth are fully within section 80 . these trailing components include land 42 having tapered sections 48 and 50 , and optional additional cutting edge 52 . thereafter , section 82 includes cutting edges 44 of three teeth , namely teeth 32 f , 32 g and 32 h . section 82 also includes the trailing components of two teeth , namely teeth 32 g and 32 h , so that those two teeth are fully within section 82 . further thereafter , section 84 includes cutting edge 44 of one tooth , namely tooth 321 , along with its trailing components , so that tooth 321 is fully within section 84 . each of sections 80 , 82 and 84 is specifically measured as the circumferential width from the first cutting edge 44 of a section to the last cutting edge 44 in the same section except where a section has only one cutting edge 44 and thus its circumferential width is defined from the cutting edge 44 of the last tooth 32 of the previous section to the only cutting edge 44 in the section . specifically , section 80 is the circumferential width from the cutting edge 44 of the first tooth 32 a of the section 80 to the cutting edge 44 of the last tooth 32 e in the same section 80 , which is defined as angle β . section 82 is the circumferential width from the cutting edge 44 of the first tooth 32 f of the section 82 to the cutting edge 44 of the last tooth 32 h in the same section 82 , which is defined as angle x . section 84 with only one tooth is the circumferential width from the cutting edge 44 of the last tooth 32 h of the previous section 82 to the only cutting edge 44 of the only tooth 321 in the section 84 , which is defined as angle δ . the previous section for the first section is the last section , which would mean the last section of the other side where the blade has two copy exact sides , or simply the last section in the case where the sections span the entire circumference of the blade . for example , the section previous to section 80 of side 70 a is section 84 of side 70 b . in between each of the sections are transitions or circumferential spaces 90 , 92 , and 94 . specifically , transition 90 is the space between sections 80 and 82 , transition 92 is the space between sections 82 and 84 but since the section 84 has only one tooth then no transition exists as section 84 and transition 92 have the same definition , and transition 94 is the space between sections 84 and 80 of the next side ( the left side ). this space is defined as the circumferential width from the cutting edge 44 of the last tooth of a section to the cutting edge 44 of the first tooth in the next section . specifically , transition 90 is the circumferential width from the cutting edge 44 of the tooth 32 e of section 80 to the cutting edge 44 of the tooth 32 f in the next section 82 , which is defined as angle ε . transition 92 does not exist due to the one - tooth nature of section 84 . transition 94 is the circumferential width from the cutting edge 44 of the tooth 321 of section 84 to the cutting edge 44 of the tooth 32 a in the next section 80 ( which is on the other side or left side in this case ), which is defined as angle φ . in accordance with one of the features of the invention , the section angle β is 60 °, the section angle x is 40 °, the section angle δ is 36 °, the transition angle ε is 20 °, and the transition angle φ is 24 °. the effect is a design where section 80 has cutting edges 44 for five teeth , section 82 has cutting edges 44 for three teeth , and section 84 has cutting edges for one tooth , with uneven transitions between sections 80 and 82 , and between 84 and 80 of the other side ( the left side ). although it is noted above that no transition 92 exists between sections 82 and 84 because the definition of transition 92 is the same as section 84 , nonetheless , it is also seen that what might be considered as transition 92 also differs from the either of transitions 90 and 94 . in more detail as to the second embodiment of the blade referred to as 120 , teeth 32 are arranged in a unique thirty - six tooth design that is divided into two copy exact sections , namely a first side 170 a and a second side 170 b by axis 172 . since the blade as shown in fig4 - 5 has a right and left copy exact side ( sides 170 a and 170 b respectively ), only the right side will be described below ( except where necessary to refer to the left side ). the first side 170 a includes eighteen teeth , namely teeth 132 a , 132 b , 132 c , 132 d , 132 e , 132 f , 132 g , 132 h , 132 i , 132 j , 132 k , 132 l , 132 m , 132 n , 132 o , 132 p , 132 q , and 132 r . as with the first embodiment and in accordance with one of the features of the invention , the eighteen teeth 132 a , 132 b , 132 c , 132 d , 132 e , 132 f , 132 g , 132 h , 132 i , 132 j , 132 k , 132 l , 132 m , 132 n , 132 o , 132 p , 132 q , and 132 r of each side 170 a and 170 b are not identical in size and spacing . specifically in the embodiment shown , first side 170 a is divided into four sections 180 , 182 , 184 and 186 ( and thus saw blade 120 has eight sections ) of varying circumferential distance with differing number of teeth and size of teeth in each . section 180 includes cutting edges 44 of seven teeth , namely teeth 132 a , 132 b , 132 c , 132 d , 132 e , 132 f , and 132 g . section 180 also includes the trailing components of six teeth , namely teeth 132 b , 132 c , 132 d , 132 e , 132 f and 132 g , so that those six teeth are fully within section 180 . as noted above , the trailing components include land 42 including tapered sections 48 and 50 , and optional additional cutting edge 52 . thereafter , section 182 includes cutting edges 44 of six teeth , namely teeth 132 h , 132 i , 132 j , 132 k , 132 l and 132 m . section 182 also includes the trailing components of five teeth , namely teeth 132 i , 132 j , 132 k , 132 l and 132 m , so that those five teeth are fully within section 182 . further thereafter , section 184 includes cutting edges 44 of three teeth , namely teeth 132 n , 132 o and 132 p . section 184 also includes the trailing components of two teeth , namely teeth 132 o and 132 p , so that those two teeth are fully within section 184 . finally thereafter , section 186 includes cutting edges 44 of two teeth , namely teeth 132 q and 132 r , along with the trailing components of tooth 132 r , so that tooth 132 r is fully within section 186 . in the same manner as described above with reference to the first embodiment , each section is specifically measured as the circumferential width from the cutting edge 44 of the first tooth of a section to the cutting edge 44 of the last tooth in the same section except where a section has only one tooth 132 and thus its circumferential width is defined from the cutting edge 44 of the last tooth 132 of the previous section to the cutting edge 44 of the only tooth 132 in the section . specifically , section 180 is the circumferential width from the cutting edge 44 of the first tooth 132 a of the section 180 to the cutting edge 44 of the last tooth 132 g in the same section 180 , which is defined as angle γ . section 182 is the circumferential width from the cutting edge 44 of the first tooth 132 h of the section 182 to the cutting edge 44 of the last tooth 132 m in the same section 182 , which is defined as angle η . section 184 is the circumferential width from the cutting edge 44 of the first tooth 132 n of the section 184 to the cutting edge 44 of the last tooth 132 p in the same section 184 , which is defined as angle φ . section 186 is the circumferential width from the cutting edge 44 of the first tooth 132 q of the section 186 to the cutting edge 44 of the last tooth 132 r in the same section 186 , which is defined as angle κ . in between each of the sections are transitions or circumferential spaces 190 , 192 , 194 and 196 . specifically , transition 190 is the space between sections 180 and 182 , transition 192 is the space between sections 182 and 184 , transition 194 is the space between sections 184 and 186 , and transition 196 is the space between sections 186 and 180 of the next side ( the left side ). this space is defined as the circumferential width from the cutting edge 44 of the last tooth of a section to cutting edge 44 of the first tooth in the next section . specifically , transition 190 is the circumferential width from cutting edge 44 of tooth 132 g of section 180 to cutting edge 44 of tooth 132 h in the next section 182 , which is defined as angle λ . transition 192 is the circumferential width from cutting edge 44 of tooth 132 m of section 182 to cutting edge 44 of tooth 132 n in the next section 184 , which is defined as angle μ . transition 194 is the circumferential width from cutting edge 44 of tooth 132 p of section 184 to cutting edge 44 of tooth 132 q in the next section 186 , which is defined as angle θ . transition 196 is the circumferential width from cutting edge 44 of tooth 132 r of section 186 to cutting edge 44 of tooth 132 a in the next section 180 ( which is on the other side or left side in this case ), which is defined as angle σ . in accordance with one of the features of the invention , the circumferential width or section angle γ is 36 . 015 °, the section angle η is 44 . 985 °, the section angle φ is 30 . 015 °, the section angle κ is 20 °, the transition angle λ is 9 °, the transition angle μ is 9 . 985 °, the transition angle θ is 10 °, and the transition angle σ is 20 °. in more detail as to the third embodiment of the blade referred to as 220 , teeth 32 are arranged in a unique twenty - tooth design that is divided into two copy exact sections , namely a first side 270 a and a second side 270 b divided by axis 272 . since the blade as shown in fig7 - 8 has a right and left copy exact side ( sides 270 a and 270 b respectively ), only the right side will be described below ( except where necessary to refer to the other or left side where transitions occur ). the first side 270 a includes ten teeth , namely teeth 232 a , 232 b , 232 c , 232 d , 232 e , 232 f , 232 g , 232 h , 232 i and 232 j separated by voids 54 . in accordance with another feature of the invention , the ten teeth 232 a , 232 b , 232 c , 232 d , 232 e , 232 f , 232 g , 232 h , 232 i and 232 j of each side 270 a and 270 b are not identical in size and spacing . specifically in the embodiment shown , first side 270 a is divided into three sections 280 , 282 and 284 ( and thus the saw blade 220 has six sections over sides 270 a and 270 b ) of varying circumferential distance with differing number of teeth and size of teeth in each . section 280 includes cutting edges 44 of five teeth 32 , namely teeth 232 a , 232 b , 232 c , 232 d , and 232 e . section 280 also includes the trailing components of four teeth 32 , namely teeth 232 b , 232 c , 232 d , and 232 e , so that those four teeth are fully within section 280 . these trailing components include land 42 having tapered sections 48 and 50 , and optional additional cutting edge 52 . thereafter , section 282 includes cutting edges 44 of three teeth , namely teeth 232 f , 232 g and 232 h . section 282 also includes the trailing components of two teeth , namely teeth 232 g and 232 h , so that those two teeth are fully within section 282 . further thereafter , section 284 includes cutting edge 44 of two teeth , namely teeth 232 i and 232 j , along with the trailing components of tooth 232 j so that tooth 232 j is fully within section 284 . each of sections 280 , 282 and 284 is specifically measured as the circumferential width from the first cutting edge 44 of a section to the last cutting edge 44 in the same section . specifically , section 280 is the circumferential width from the first cutting edge 44 of tooth 232 a of section 280 to the last cutting edge 44 of tooth 232 e in the same section 280 , which is defined as angle b . section 282 is the circumferential width from the first cutting edge 44 of tooth 232 f of section 282 to the last cutting edge 44 of tooth 232 h in the same section 282 , which is defined as angle d . section 284 is the circumferential width from the first cutting edge 44 of tooth 232 i of section 284 to the last cutting edge 44 of tooth 232 j in the same section 284 , which is defined as angle f . in between each of the sections are transitions or circumferential spaces 290 , 292 , and 294 . specifically , transition 290 is the space between sections 280 and 282 , transition 292 is the space between sections 282 and 284 , and transition 294 is the space between sections 284 and 280 of the next side ( the left side ). this space is defined as the circumferential width from the last cutting edge 44 of a section to the first cutting edge 44 in the next section . specifically , transition 290 is the circumferential width from the last cutting edge 44 of tooth 232 e of section 280 to the first cutting edge 44 of tooth 232 f in the next section 282 , which is defined as angle c . transition 292 is the circumferential width from the last cutting edge 44 of tooth 232 h of section 282 to the first cutting edge 44 of tooth 232 i in the next section 284 , which is defined as angle e . transition 294 is the circumferential width from the last cutting edge 44 of the tooth 232 j of section 284 to the first cutting edge 44 of tooth 232 a in the next section 280 ( which is on the other side or left side in this case ), which is defined as angle a . in accordance with one of the features of the invention , the section angle b falls in a range of 54 ° to 58 °, the section angle d falls in a range of 38 ° to 42 °, the section angle f falls in a range of 23 ° to 27 °, the transition angle c falls in a range of 12 ° to 16 °, the transition angle e falls in a range of 18 ° to 22 °, and the transition angle a falls in a range of 23 ° to 27 °. more preferably , the section angle b is approximately 56 °, the section angle d is approximately 40 °, the section angle f is approximately 25 °, the transition angle c is approximately 14 °, the transition angle e is approximately 20 °, and the transition angle a is approximately 25 °. most preferably , section angle b is 56 . 000 °, the section angle d is 40 . 000 °, the section angle f is 25 . 000 °, the transition angle c is 14 . 000 °, the transition angle e is 20 . 000 °, and the transition angle a is 25 . 000 °. the effect is a design where section 280 has cutting edges 44 for five teeth , section 282 has cutting edges 44 for three teeth , and section 284 has cutting edges for two teeth , with uneven transitions between sections 280 and 282 , between 282 and 284 , and between 284 and 280 of the other side ( the left side ). in more detail as to the fourth embodiment of the blade referred to as 320 , teeth 32 are arranged in a unique fifty - tooth design that is divided into two copy exact sections , namely a first side 370 a and a second side 370 b by axis 372 . since the blade as shown in fig9 - 10 has a right and left copy exact side ( sides 370 a and 370 b respectively ), only the right side will be described below ( except where necessary to refer to the left side ). the first side 370 a includes twenty - five teeth , namely teeth 332 a , 332 b , 332 c , 332 d , 332 e , 332 f , 332 g , 332 h , 332 i , 332 j , 332 k , 332 l , 332 m , 332 n , 332 o , 332 p , 332 q , 332 r , 332 s , 332 t , 332 u , 332 v , 332 w , 332 ×, and 332 y . as with the previous embodiments and in accordance with one of the features of the invention , the twenty - five teeth 332 a , 332 b , 332 c , 332 d , 332 e , 332 f , 332 g , 332 h , 332 i , 332 j , 332 k , 332 l , 332 m , 332 n , 332 o , 332 p , 332 q , 332 r , 332 s , 332 t , 332 u , 332 v , 332 w , 332 ×, and 332 y of each side 370 a and 370 b are not identical in size and spacing . specifically in the embodiment shown , first side 370 a is divided into four sections 380 , 382 , 384 and 386 ( and thus saw blade 320 has eight sections ) of varying circumferential distance with differing number of teeth and size of teeth in each . section 380 includes cutting edges 44 of nine teeth , namely teeth 332 a , 332 b , 332 c , 332 d , 332 e , 332 f , 332 g , 332 h and 332 i . section 380 also includes the trailing components of eight teeth , namely teeth 332 b , 332 c , 332 d , 332 e , 332 f , 332 g , 332 h and 332 i , so that those eight teeth are fully within section 380 . as noted above , the trailing components include land 42 including tapered sections 48 and 50 , and optional additional cutting edge 52 . thereafter , section 382 includes cutting edges 44 of seven teeth , namely teeth 332 j , 332 k , 332 l , 332 m , 332 n , 332 o and 332 p . section 382 also includes the trailing components of six teeth , namely teeth 332 k , 332 l , 332 m , 332 n , 332 o and 332 p , so that those six teeth are fully within section 382 . further thereafter , section 384 includes cutting edges 44 of five teeth , namely teeth 332 q , 332 r , 332 s , 332 t and 332 u . section 384 also includes the trailing components of four teeth , namely teeth 332 r , 332 s , 332 t and 332 u , so that those four teeth are fully within section 384 . finally thereafter , section 386 includes cutting edges 44 of four teeth , namely teeth 332 v , 332 w , 332 x and 332 y . section 386 also includes the trailing components of three teeth , namely teeth 332 w , 332 x and 332 y , so that those three teeth are fully within section 386 . as with the previous embodiments , each of sections 380 , 382 , 384 and 386 is specifically measured as the circumferential width from the first cutting edge 44 of a section to the last cutting edge 44 in the same section . specifically , section 380 is the circumferential width from the first cutting edge 44 of tooth 332 a of section 380 to the last cutting edge 44 of tooth 332 i in the same section 380 , which is defined as angle h . section 382 is the circumferential width from the first cutting edge 44 of tooth 332 j of section 382 to the last cutting edge 44 of tooth 332 p in the same section 382 , which is defined as angle j . section 384 is the circumferential width from the first cutting edge 44 of tooth 332 q of section 384 to the last cutting edge 44 of tooth 332 u in the same section 384 , which is defined as angle l . section 386 is the circumferential width from the first cutting edge 44 of tooth 332 v of section 386 to the last cutting edge 44 of tooth 332 y in the same section 386 , which is defined as angle n . in between each of the sections are transitions or circumferential spaces 390 , 392 , 394 and 396 . specifically , transition 390 is the space between sections 380 and 382 , transition 392 is the space between sections 382 and 384 , transition 394 is the space between sections 384 and 386 , and transition 396 is the space between sections 386 and 380 of the next side ( the left side ). this space is defined as the circumferential width from the last cutting edge 44 of a section to the first cutting edge 44 in the next section . specifically , transition 390 is the circumferential width from the last cutting edge 44 of tooth 332 i of section 380 to the first cutting edge 44 of tooth 332 j in the next section 382 , which is defined as angle i . transition 392 is the circumferential width from the last cutting edge 44 of tooth 332 p of section 382 to the first cutting edge 44 of tooth 332 q in the next section 384 , which is defined as angle k . transition 394 is the circumferential width from the last cutting edge 44 of the tooth 332 u of section 384 to the first cutting edge 44 of tooth 332 v in the next section 386 , which is defined as angle m . transition 396 is the circumferential width from the last cutting edge 44 of the tooth 332 y of section 386 to the first cutting edge 44 of tooth 332 a in the next section 380 ( which is on the other side or left side in this case ), which is defined as angle g . in accordance with one of the features of the invention , the circumferential width or section angle h falls in a range of 34 ° to 38 °, the section angle j falls in a range of 34 ° to 38 °, the section angle l falls in a range of 34 ° to 38 °, the section angle n falls in a range of 43 ° to 47 °, the transition angle i falls in a range of 2 . 5 ° to 6 . 5 °, the transitional angle k falls in a range of 4 ° to 8 °, the transition angle m falls in the range of 7 ° to 11 °, and the transition angle g falls in a range of 5 . 5 ° to 9 . 5 °. more preferably , the circumferential width for sectional angle h is approximately 36 °, the section angle j is approximately 36 °, the section angle l is approximately 36 °, the section angle n is approximately 45 °, the transitional angle i is approximately 4 . 5 °, the transition angle k is approximately 6 °, the transition angle m is approximately 9 °, and the transition angle g is approximately 7 . 5 °. most preferably , the circumferential width or section angle h is 36 . 000 °, the section angle j is 35 . 933 °, the section angle l is 36 . 000 °, the section angle n is 45 . 000 °, the transition angle i is 4 . 423 °, the transition angle k is 6 . 139 °, the transition angle m is 9 . 000 °, and the transition angle g is 7 . 500 °. in more detail as to the fifth embodiment of the blade referred to as 420 , teeth 32 are arranged in a unique seventy - tooth design that is divided into two copy exact sections , namely a first side 470 a and a second side 470 b by axis 472 . since the blade as shown in fig1 - 12 has a right and left copy exact side ( sides 470 a and 470 b respectively ), only the right side will be described below ( except where necessary to refer to the left side ). the first side 470 a includes thirty - five teeth , namely teeth 432 a , 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , 432 i , 432 j , 434 k , 432 l , 432 m , 432 n , 432 o , 432 p , 432 q , 432 r , 432 s , 432 t , 432 u , 432 v , 432 w , 432 ×, 432 y , 432 z , 432 a , 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , and 432 i . as with the previous embodiments and in accordance with one of the features of the invention , the thirty - five teeth 432 a , 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , 432 i , 432 j , 434 k , 432 l , 432 m , 432 n , 432 o , 432 p , 432 q , 432 r , 432 s , 432 t , 432 u , 432 v , 432 w , 432 ×, 432 y , 432 z , 432 a , 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , and 432 i of each side 470 a and 470 b are not identical in size and spacing . specifically in the embodiment shown , first side 470 a is divided into four sections 480 , 482 , 484 and 486 ( and thus saw blade 420 has eight sections ) of varying circumferential distance with differing number of teeth and size of teeth in each . section 480 includes cutting edges 44 of twelve teeth , namely teeth 432 a , 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , 432 i , 432 j , 434 k and 432 l . section 480 also includes the trailing components of eleven teeth , namely teeth 432 b , 432 c , 432 d , 432 e , 432 f , 432 g , 432 h , 432 i , 432 j , 434 k and 432 l , so that those eleven teeth are fully within section 480 . as noted above , the trailing components include land 42 including tapered sections 48 and 50 , and optional additional cutting edge 52 . thereafter , section 482 includes cutting edges 44 of eight teeth , namely teeth 432 m , 432 n , 432 o , 432 p , 432 q , 432 r , 432 s , 432 t . section 482 also includes the trailing components of seven teeth , namely teeth 432 n , 432 o , 432 p , 432 q , 432 r , 432 s and 432 t , so that those seven teeth are fully within section 482 . further thereafter , section 484 includes cutting edges 44 of twelve teeth , namely teeth 432 u , 432 v , 432 w , 432 ×, 432 y , 432 z , 432 a , 432 b , 432 c , 432 d , 432 e and 432 f . section 484 also includes the trailing components of eleven teeth , namely teeth 432 v , 432 w , 432 ×, 432 y , 432 z , 432 a , 432 b , 432 c , 432 d , 432 e and 432 f , so that those eleven teeth are fully within section 484 . finally thereafter , section 486 includes cutting edges 44 of three teeth , namely teeth 432 g , 432 h , and 432 i . section 486 also includes the trailing components of two teeth , namely teeth 432 h and 432 i , so that those two teeth are fully within section 486 . as with the previous embodiments , each of sections 480 , 482 , 484 and 486 is specifically measured as the circumferential width from the first cutting edge 44 of a section to the last cutting edge 44 in the same section . specifically , section 480 is the circumferential width from the first cutting edge 44 of tooth 432 a of section 480 to the last cutting edge 44 of tooth 432 l in the same section 480 , which is defined as angle q . section 482 is the circumferential width from the first cutting edge 44 of tooth 432 m of section 482 to the last cutting edge 44 of tooth 432 t in the same section 482 , which is defined as angle s . section 484 is the circumferential width from the first cutting edge 44 of tooth 432 u of section 484 to the last cutting edge 44 of tooth 432 f in the same section 484 , which is defined as angle u . section 486 is the circumferential width from the first cutting edge 44 of tooth 432 g of section 486 to the last cutting edge 44 of tooth 432 i in the same section 486 , which is defined as angle o . in between each of the sections are transitions or circumferential spaces 490 , 492 , 494 and 496 . specifically , transition 490 is the space between sections 480 and 482 , transition 492 is the space between sections 482 and 484 , transition 494 is the space between sections 484 and 486 , and transition 496 is the space between sections 486 and 480 of the next side ( the left side ). this space is defined as the circumferential width from the last cutting edge 44 of a section to the first cutting edge 44 in the next section . specifically , transition 490 is the circumferential width from the last cutting edge 44 of tooth 432 l of section 480 to the first cutting edge 44 of tooth 432 m in the next section 482 , which is defined as angle r . transition 492 is the circumferential width from the last cutting edge 44 of tooth 432 t of section 482 to the first cutting edge 44 of tooth 432 u in the next section 484 , which is defined as angle t . transition 494 is the circumferential width from the last cutting edge 44 of the tooth 432 f of section 484 to the first cutting edge 44 of tooth 432 g in the next section 486 , which is defined as angle v . transition 496 is the circumferential width from the last cutting edge 44 of the tooth 432 i of section 486 to the first cutting edge 44 of tooth 432 a in the next section 480 ( which is on the other side or left side in this case ), which is defined as angle p . in accordance with one of the features of the invention , the circumferential width or section angle q falls in a range of 36 . 5 ° to 40 . 5 °, the section angle s falls in a range of 30 . 5 ° to 34 . 5 °, the section angle u falls in a range of 64 ° to 68 °, the section angle o falls in a range of 19 . 5 ° to 23 . 5 °, the transition angle r falls in a range of 1 . 5 ° to 5 . 5 °, the transition angle t falls in a range of 2 . 5 ° to 6 . 5 °, the transition angle v falls in a range of 4 ° to 8 °, and the transition angle p falls in a range of 5 . 5 ° to 9 . 5 °. more preferably , circumferential width for section angle q is approximately 38 . 5 °, the section angle s is approximately 32 . 5 °, the section angle u is approximately 66 °, the section angle o is approximately 21 . 5 °, the transition angle r is approximately 3 . 5 °, the transitional angle t is approximately 4 . 5 °, the transition angle v is approximately 6 °, and transition angle p is approximately 7 . 5 °. most preferably , the circumferential width or section angle q is 38 . 501 °, the section angle s is 32 . 500 °, the section angle u is 66 . 001 °, the section angle o is 21 . 548 °, the transition angle r is 3 . 499 °, the transition angle t is 4 . 500 °, the transition angle v is 6 . 000 °, and the transition angle p is 7 . 452 °. accordingly , the improved saw blade of the above embodiments is simplified , provides an effective , safe , inexpensive , and efficient device which achieves all the enumerated objectives , provides for eliminating difficulties encountered with prior devices , and solves problems and obtains new results in the art . in the foregoing description , certain terms have been used for brevity , clearness and understanding ; but no unnecessary limitations are to be implied therefrom beyond the requirement of the prior art , because such terms are used for descriptive purposes and are intended to be broadly construed . moreover , the description and illustration of the invention is by way of example , and the scope of the invention is not limited to the exact details shown or described . having now described the features , discoveries and principles of the invention , the manner in which the improved saw blade is constructed and used , the characteristics of the construction , and the advantageous , new and useful results obtained ; the new and useful structures , devices , elements , arrangements , parts and combinations , are set forth in the appended claims .