**各音程に近似する整数比のリストと誤差** [Table_2] 誤差:±20セント以内(1.19%) (5_リミット) ------+----------+---------------------------------+-------------- 音順 周波数比 簡単な整数比リスト(誤差小さい順) 第1候補の誤差 ------+----------+---------------------------------+-------------- 01/10 1.07177346 15: 16 25: 27 -0.476%(-8セント) 02/10 1.14869835 125:144 108:125 225:256 0.287%(+5) 03/10 1.23114441 81:100 0.278%(+5) 04/10 1.31950791 243:320 03: 04 -0.200%(-3) 05/10 1.41421356 32: 45 45: 64 -0.563%(-10) 06/10 1.51571657 160:243 02: 03 0.200%(+3) 07/10 1.62450479 384:625 50: 81 0.191%(+3) 08/10 1.74110113 72:125 125:216 128:225 -0.287%(-5) 09/10 1.86606598 08: 15 27: 50 0.479%(+8) 10/10 2.00000000 ------+----------+---------------------------------+-------------- 01/11 1.06504109 15: 16 128:135 243:256 0.153%(+3) 02/11 1.13431252 225:256 08: 09 0.305%(+5) 03/11 1.20808944 200:243 05: 06 0.572%(+10) 04/11 1.28666490 25: 32 125:162 -0.518%(-9) 05/11 1.37035098 375:512 -0.366%(-6) 06/11 1.45948011 256:375 0.368%(+6) 07/11 1.55440628 16: 25 81:125 125:192 0.521%(+9) 08/11 1.65550656 243:400 03: 05 -0.569%(-10) 09/11 1.76318251 128:225 09: 16 -0.305%(-5) 10/11 1.87786182 08: 15 135:256 128:243 -0.152%(-3) 11/11 2.00000000 ------+----------+---------------------------------+-------------- 01/12 1.05946309 128:135 243:256 15: 16 -0.451%(-8セント) 02/12 1.12246205 08: 09 09: 10 0.226%(+4) 03/12 1.18920712 27: 32 05: 06 -0.338%(-6) 04/12 1.25992105 64: 81 04: 05 0.453%(+8) 05/12 1.33483985 03: 04 20: 27 -0.113%(-2) 06/12 1.41421356 32: 45 45: 64 -0.563%(-10) 07/12 1.49830708 02: 03 27: 40 0.113%(+2) 08/12 1.58740105 256:405 81:128 05: 08 -0.338%(-6) 09/12 1.68179283 16: 27 03: 05 0.339%(+6) 10/12 1.78179744 09: 16 05: 09 -0.226%(-4) 11/12 1.88774863 135:256 128:243 08: 15 0.453%(+8) 12/12 2.00000000 ------+----------+---------------------------------+-------------- 01/13 1.05476608 128:135 243:256 15: 16 -0.007%(-0) 02/13 1.11253148 09: 10 08: 09 -0.128%(-2) 03/13 1.17346046 64: 75 27: 32 -0.135%(-2) 04/13 1.23772629 81:100 04: 05 -0.255%(-4) 05/13 1.30551170 96:125 125:162 243:320 -0.263%(-5) 06/13 1.37700945 375:512 18: 25 0.848%(+15) 07/13 1.45242286 256:375 25: 36 0.855%(+15) 08/13 1.53196636 125:192 81:125 160:243 0.263%(+5) 09/13 1.61586614 50: 81 384:625 05: 08 0.256%(+4) 10/13 1.70436079 75:128 16: 27 0.135%(+2) 11/13 1.79770195 05: 09 09: 16 0.128%(+2) 12/13 1.89615503 135:256 128:243 08: 15 0.007%(+0) 13/13 2.00000000 ------+----------+---------------------------------+-------------- 01/14 1.05075664 243:256 128:135 24: 25 0.261%(+5セント) 02/14 1.10408951 09: 10 0.636%(+11) 03/14 1.16012939 108:125 125:144 64: 75 -0.235%(-4) 04/14 1.21901365 200:243 -0.329%(-6) 05/14 1.28088669 25: 32 125:162 -0.069%(-1) 06/14 1.34590019 20: 27 03: 04 0.305%(+5) 07/14 1.41421356 32: 45 45: 64 -0.563%(-10) 08/14 1.48599429 27: 40 02: 03 -0.304%(-5) 09/14 1.56141836 16: 25 81:125 0.069%(+1) 10/14 1.64067071 243:400 384:625 0.330%(+6) 11/14 1.72394564 125:216 72:125 75:128 0.235%(+4) 12/14 1.81144733 400:729 05: 09 0.610%(+11) 13/14 1.90339031 128:243 135:256 25: 48 -0.260%(-5) 14/14 2.00000000 ------+----------+---------------------------------+-------------- 01/15 1.04729412 24: 25 243:256 128:135 -0.537%(-9) 02/15 1.09682498 >>該当なし<< **** 03/15 1.14869835 125:144 108:125 225:256 0.287%(+5) 04/15 1.20302504 05: 06 200:243 -0.251%(-4) 05/15 1.25992105 64: 81 04: 05 0.453%(+8) 06/15 1.31950791 243:320 03: 04 -0.200%(-3) 07/15 1.38191288 18: 25 0.505%(+9) 08/15 1.44726924 25: 36 -0.502%(-9) 09/15 1.51571657 160:243 02: 03 0.200%(-3) 10/15 1.58740105 256:405 81:128 05: 08 -0.338%(-6) 11/15 1.66247579 03: 05 243:400 0.252%(+4) 12/15 1.74110113 72:125 125:216 128:225 -0.287%(-5) 13/15 1.82344498 400:729 -0.052%(-1) 14/15 1.90968321 25: 48 128:243 135:256 324:625 0.540%(+9) 15/15 2.00000000 ------+----------+---------------------------------+-------------- 01/16 1.04427378 24: 25 243:256 128:135 -0.250%(-4) 02/16 1.09050773 25: 27 -0.964%(-17) 03/16 1.13878863 225:256 125:144 -0.089%(-2) 04/16 1.18920712 27: 32 05: 06 -0.338%(-6) 05/16 1.24185781 81:100 04: 05 -0.587%(-10) 06/16 1.29683955 125:162 96:125 -0.065%(-1) 07/16 1.35425555 20: 27 375:512 -0.314%(-5) 08/16 1.41421356 32: 45 45: 64 -0.563%(-10) 09/16 1.47682615 27: 40 256:375 0.315%(+5) 10/16 1.54221083 81:125 125:192 0.065%(+1) 11/16 1.61049033 50: 81 05: 08 384:625 0.590%(+10) 12/16 1.68179283 16: 27 03: 05 0.339%(+6) 13/16 1.75625216 128:225 72:125 0.089%(+2) 14/16 1.83400809 400:729 27: 50 -0.627%(-11) 15/16 1.91520656 25: 48 324:625 128:243 135:256 0.250%(+4) 16/16 2.00000000 ------+----------+---------------------------------+-------------- 01/17 1.04161601 24: 25 243:256 0.005%(+0セント) 02/17 1.08496391 25: 27 -0.458%(-8) 03/17 1.13011578 08: 09 225:256 -0.453%(-8) 04/17 1.17714669 64: 75 27: 32 -0.448%(-8) 05/17 1.22613484 81:100 200:243 0.688%(+12) 06/17 1.27716168 25: 32 64: 81 0.222%(+4) 07/17 1.33031206 03: 04 243:320 0.227%(+4) 08/17 1.38567434 18: 25 0.232%(+4) 09/17 1.44334058 25: 36 -0.231%(-4) 10/17 1.50340665 02: 03 160:243 -0.227%(-4) 11/17 1.56597244 16: 25 81:128 256:405 -0.222%(-4) 12/17 1.63114197 384:625 50: 81 243:400 -0.217%(-4) 13/17 1.69902359 75:128 16: 27 0.450%(+8) 14/17 1.76973017 09: 16 128:225 0.455%(+8) 15/17 1.84337928 27: 50 400:729 0.460%(+8) 16/17 1.92009337 25: 48 324:625 128:243 -0.005%(-0) 17/17 2.00000000 ------+----------+---------------------------------+-------------- 01/18 1.03925923 24: 25 243:250 0.232%(+4) 02/18 1.08005974 25: 27 -0.006%(-0) 03/18 1.12246205 08: 09 09: 10 0.226%(+4) 04/18 1.16652904 64: 75 108:125 0.458%(+8) 05/18 1.21232607 200:243 05: 06 0.221%(+4) 06/18 1.25992105 64: 81 04: 05 0.453%(+8) 07/18 1.30938458 96:125 243:320 125:162 -0.558%(-10) 08/18 1.36079000 375:512 20: 27 0.334%(+6) 09/18 1.41421356 32: 45 45: 64 -0.563%(-10) 10/18 1.46973449 256:375 27: 40 -0.333%(-6) 11/18 1.52743513 125:192 160:243 81:125 0.561%(+10) 12/18 1.58740105 256:405 81:128 05: 08 -0.338%(-6) 13/18 1.64972119 243:400 03: 05 -0.220%(-4) 14/18 1.71448797 75:128 125:216 -0.456%(-8) 15/18 1.78179744 09: 16 05: 09 -0,226%(-4) 16/18 1.85174942 27: 50 0.006%(+0) 17/18 1.92444767 25: 48 324:625 125:243 -0.231%(-4) 18/18 2.00000000 目次へ戻る