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'''Delta scale''' is the equal division of the classic diatonic semitone ([[16/15]]) into eight parts of 13.9664 cents each, corresponding to 85.9204 [[edo]]. It is inconsistent to the 5-limit and higher | {{Wikipedia|Delta scale}} | ||
The '''Delta scale''' is the equal division of the classic diatonic semitone ([[16/15]]) into eight parts of 13.9664 cents each, corresponding to 85.9204 [[edo]]. It is [[inconsistent]] to the 5-limit and higher, as the [[direct approximation]]s of 3/2, 5/4, and 6/5 are the 50th, 28th, and 23rd steps, respectively (and 28 + 23 ≠ 50). | |||
Lookalikes: [[86edo]], [[ | Lookalikes: [[86edo]], [[136edt]], [[50edf]] | ||
==Intervals== | {{Infobox ET|8ed16/15}} | ||
{| class="wikitable" | |||
== Harmonics == | |||
{{Harmonics in equal|8|16|15}} | |||
== Intervals == | |||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of the delta scale | |||
|- | |- | ||
! rowspan="2" | degree | ! rowspan="2" | degree | ||
! colspan=" | ! colspan="8" |cents value | ||
! rowspan="2" | corresponding <br>JI intervals | ! rowspan="2" | corresponding <br>JI intervals | ||
|- | |- | ||
! | [[86edo| 86EDO]] | |||
! | [[86edo|86EDO]] | |||
! | 8ED16/15 | ! | 8ED16/15 | ||
! | 222ED6 | ! | [[222ed6| 222ED6]] | ||
! | [[136edt| | ! | [[136edt| 136EDT]] | ||
! | | ! | golden 85—86EDO | ||
! | ! | [[171ed4| 171ED4]] | ||
![[ | ! | [[50edf| 50EDF]] | ||
![[85edo|85EDO]] | ! | [[85edo| 85EDO]] | ||
|- | |- | ||
| | | | colspan="9" | 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 13.9535 | | | 13.9535 | ||
| | 13.966 | | | '''13.966''' | ||
| | 13.973 | | | 13.973 | ||
| | 13.985 | | | 13.985 | ||
| | | | 14.016 | ||
|14.039 | | 14.035 | ||
| 14.039 | |||
|14.118 | | 14.118 | ||
| | [[126/125]] | | | [[126/125]] | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 27.907 | | | 27.907 | ||
| | 27.933 | | | '''27.933''' | ||
| | 27.946 | | | 27.946 | ||
| | 27.970 | | | 27.970 | ||
| | | | 28.0315 | ||
|28.078 | | 28.07 | ||
| 28.078 | |||
|28.235 | | 28.235 | ||
| | [[64/63]] | | | [[64/63]] | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 41.8605 | | | 41.8605 | ||
| | 41.899 | | | '''41.899''' | ||
| | 41.918 | | | 41.918 | ||
| | 41.955 | | | 41.955 | ||
| | | | 42.047 | ||
|42.117 | | 42.105 | ||
| 42.117 | |||
|42.353 | | 42.353 | ||
| | [[128/125]], 169/165, 165/161 | | | [[128/125]], 169/165, 165/161 | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 55.814 | | | 55.814 | ||
| | 55.866 | | | '''55.866''' | ||
| | 55.891 | | | 55.891 | ||
| | 55.940 | | | 55.940 | ||
| | | | 56.063 | ||
|56.156 | | 56.14 | ||
| 56.156 | |||
|56.471 | | 56.471 | ||
| | 95/92 | | | 95/92 | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 69.767 | | | 69.767 | ||
| | 69.832 | | | '''69.832''' | ||
| | 69.864 | | | 69.864 | ||
| | 69.925 | | | 69.925 | ||
| | | | 70.079 | ||
|70.1955 | | 70.175 | ||
| 70.1955 | |||
|70.588 | | 70.588 | ||
| | 51/49, [[25/24]] | | | 51/49, [[25/24]] | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 83.721 | | | 83.721 | ||
| | 83.798 | | | '''83.798''' | ||
| | 83.837 | | | 83.837 | ||
| | 83.910 | | | 83.910 | ||
| | | | 84.094 | ||
|84.235 | | 84.2105 | ||
| 84.235 | |||
|84.706 | | 84.706 | ||
| | 85/81, [[21/20]] | | | 85/81, [[21/20]] | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 97.674 | | | 97.674 | ||
| | 97.765 | | | '''97.765''' | ||
| | 97.809 | | | 97.809 | ||
| | 97.895 | | | 97.895 | ||
| | | | 98.11 | ||
|98.274 | | 98.246 | ||
| 98.274 | |||
|98.8235 | | 98.8235 | ||
| | 55/52, 128/121, 91/86 | | | 55/52, 128/121, 91/86 | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 111.628 | | | 111.628 | ||
| | 111.731 | | | '''111.731''' | ||
| | 111.782 | | | 111.782 | ||
| | 111.880 | | | 111.880 | ||
| | | | 112.126 | ||
|112.313 | | 112.281 | ||
| 112.313 | |||
|112.941 | | 112.941 | ||
| | [[16/15]] | | | [[16/15]] | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 125.581 | | | 125.581 | ||
| | 125.698 | | | '''125.698''' | ||
| | 125.755 | | | 125.755 | ||
| | 125.865 | | | 125.865 | ||
| | | | 126.124 | ||
|126.352 | | 126.316 | ||
| 126.352 | |||
|127.059 | | 127.059 | ||
| | [[14/13]] | | | [[14/13]] | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 139.535 | | | 139.535 | ||
| | 139.664 | | | '''139.664''' | ||
| | 139.728 | | | 139.728 | ||
| | 139.850 | | | 139.850 | ||
| | | | 140.157 | ||
|140.391 | | 140.351 | ||
| 140.391 | |||
|141.1765 | | 141.1765 | ||
| | [[13/12]] | | | [[13/12]] | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 153.488 | | | 153.488 | ||
| | 153.631 | | | '''153.631''' | ||
| | 153.700 | | | 153.700 | ||
| | 153.835 | | | 153.835 | ||
| | | | 154.173 | ||
|154.43 | | 154.386 | ||
| 154.43 | |||
|155.294 | | 155.294 | ||
| | 59/54, 47/43, [[35/32]] | | | 59/54, 47/43, [[35/32]] | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 167.442 | | | 167.442 | ||
| | 167.597 | | | '''167.597''' | ||
| | 167.673 | | | 167.673 | ||
| | 167.820 | | | 167.820 | ||
| | | | 168.189 | ||
|168.469 | | 168.421 | ||
| 168.469 | |||
|169.412 | | 169.412 | ||
| | 76/69, 65/59 | | | 76/69, 65/59 | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 181.395 | | | 181.395 | ||
| | 181.563 | | | '''181.563''' | ||
| | 181.646 | | | 181.646 | ||
| | 181.805 | | | 181.805 | ||
| | | | 182.205 | ||
|182.508 | | 182.456 | ||
| 182.508 | |||
|183.529 | | 183.529 | ||
| | [[10/9]] | | | [[10/9]] | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 195.349 | | | 195.349 | ||
| | 195.530 | | | '''195.530''' | ||
| | 195.619 | | | 195.619 | ||
| | 195.789 | | | 195.789 | ||
| | | | 196.22 | ||
|196.547 | | 196.491 | ||
| 196.547 | |||
|197.647 | | 197.647 | ||
| | [[28/25]] | | | [[28/25]] | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 209.302 | | | 209.302 | ||
| | 209.496 | | | '''209.496''' | ||
| | 209.592 | | | 209.592 | ||
| | 209.774 | | | 209.774 | ||
| | | | 210.236 | ||
|210.5865 | | 210.526 | ||
| 210.5865 | |||
|211.765 | | 211.765 | ||
| | 44/39, 35/31 | | | 44/39, 35/31 | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 223.256 | | | 223.256 | ||
| | 223.463 | | | '''223.463''' | ||
| | 223.564 | | | 223.564 | ||
| | 223.759 | | | 223.759 | ||
| | | | 224.252 | ||
|224.626 | | 224.561 | ||
| 224.626 | |||
|225.882 | | 225.882 | ||
| | 33/29 | | | 33/29 | ||
|- | |- | ||
| | 17 | | | 17 | ||
| | 237.209 | | | 237.209 | ||
| | 237.429 | | | '''237.429''' | ||
| | 237.537 | | | 237.537 | ||
| | 237.744 | | | 237.744 | ||
| | | | 238.268 | ||
|238.665 | | 238.5965 | ||
| 238.665 | |||
|240 | | 240 | ||
| | 39/34 | | | 39/34 (pseudo-[[8/7]]) | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 251.163 | | | 251.163 | ||
| | 251.395 | | | '''251.395''' | ||
| | 251. | | | 251.51 | ||
| | 251.729 | | | 251.729 | ||
| | | | 252.283 | ||
|252.704 | | 252.632 | ||
| 252.704 | |||
|254.118 | | 254.118 | ||
| | 37/32, [[22/19]] | | | 37/32, [[22/19]] | ||
|- | |- | ||
| | 19 | | | 19 | ||
| | 265.116 | | | 265.116 | ||
| | 265.362 | | | '''265.362''' | ||
| | 265.483 | | | 265.483 | ||
| | 265.714 | | | 265.714 | ||
| | | | 266.299 | ||
|266.743 | | 266.667 | ||
| 266.743 | |||
|268.235 | | 268.235 | ||
| | [[7/6]] | | | [[7/6]] | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 279.07 | |||
| | 279. | | | '''279.328''' | ||
| | 279.328 | |||
| | 279.455 | | | 279.455 | ||
| | 279.699 | | | 279.699 | ||
| | | | 280.315 | ||
|280.78 | | 280.702 | ||
| 280.78 | |||
|282.353 | | 282.353 | ||
| | 27/23, 47/40, [[20/17]] | | | 27/23, 47/40, [[20/17]] | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | 293.023 | | | 293.023 | ||
| | 293.295 | | | '''293.295''' | ||
| | 293.428 | | | 293.428 | ||
| | 293.684 | | | 293.684 | ||
| | | | 294.3305 | ||
|294.821 | | 294.737 | ||
| 294.821 | |||
|296.353 | | 296.353 | ||
| | 45/38, 77/65, [[32/27]] | | | 45/38, 77/65, [[32/27]] | ||
|- | |- | ||
| | 22 | | | 22 | ||
| | 306.977 | | | 306.977 | ||
| | 307.261 | | | '''307.261''' | ||
| | 307.401 | | | 307.401 | ||
| | 307.669 | | | 307.669 | ||
| | | | 308.346 | ||
|308.86 | | 308.772 | ||
| 308.86 | |||
|310.588 | | 310.588 | ||
| | 80/67, 43/36 | | | 80/67, 43/36 | ||
|- | |- | ||
| | 23 | | | 23 | ||
| | 320. | | | 320.93 | ||
| | '''321.227''' | |||
| | 321.227 | |||
| | 321.374 | | | 321.374 | ||
| | 321.654 | | | 321.654 | ||
| | | | 322.362 | ||
|322.899 | | 322.807 | ||
| 322.899 | |||
|324.706 | | 324.706 | ||
| | 65/54<br>(pseudo-[[6/5]]) | | | 65/54<br>(pseudo-[[6/5]]) | ||
|- | |- | ||
| | 24 | | | 24 | ||
| | 334.884 | | | 334.884 | ||
| | 335.194 | | | '''335.194''' | ||
| | 335.346 | | | 335.346 | ||
| | 335.639 | | | 335.639 | ||
| | | | 336.378 | ||
|336.938 | | 336.842 | ||
| 336.938 | |||
|338.8235 | | 338.8235 | ||
| | [[17/14]] | | | [[17/14]] | ||
|- | |- | ||
| | 25 | | | 25 | ||
| | 348.837 | | | 348.837 | ||
| | 349.160 | | | '''349.160''' | ||
| | 349.319 | | | 349.319 | ||
| | 349.624 | | | 349.624 | ||
| | | | 350.3935 | ||
|350.9775 | | 350.877 | ||
| 350.9775 | |||
|352.941 | | 352.941 | ||
| | [[11/9]], 104/85, [[60/49]] | | | [[11/9]], 104/85, [[60/49]] | ||
|- | |- | ||
| | 26 | | | 26 | ||
| | 362.791 | | | 362.791 | ||
| | 363.127 | | | '''363.127''' | ||
| | 363.292 | | | 363.292 | ||
| | 363.609 | | | 363.609 | ||
| | | | 364.409 | ||
|365.017 | | 364.912 | ||
| 365.017 | |||
|367.059 | | 367.059 | ||
| | 37/30 | | | 37/30 | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 376.744 | | | 376.744 | ||
| | 377.093 | | | '''377.093''' | ||
| | 377.265 | | | 377.265 | ||
| | 377.594 | | | 377.594 | ||
| | | | 378.425 | ||
|379.056 | | 378.947 | ||
| 379.056 | |||
|381.1765 | | 381.1765 | ||
| | 46/37, 97/78 | | | 46/37, 97/78 | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 390.698 | | | 390.698 | ||
| | 391.059 | | | '''391.059''' | ||
| | 391.238 | | | 391.238 | ||
| | 391.579 | | | 391.579 | ||
| | | | 392.441 | ||
|393.095 | | 392.9825 | ||
| 393.095 | |||
|395.294 | | 395.294 | ||
| | 94/75, 89/71 | | | 94/75, 89/71 (pseudo-[[5/4]]) | ||
|- | |- | ||
| | 29 | | | 29 | ||
| | 404.651 | | | 404.651 | ||
| | 405.026 | | | '''405.026''' | ||
| | 405.210 | | | 405.210 | ||
| | 405.564 | | | 405.564 | ||
| | | | 406.456 | ||
|407.134 | | 407.0175 | ||
| 407.134 | |||
|409.412 | | 409.412 | ||
| | [[24/19]], 91/72 | | | [[24/19]], 91/72 | ||
|- | |- | ||
| | 30 | | | 30 | ||
| | 418.605 | | | 418.605 | ||
| | 418.992 | | | '''418.992''' | ||
| | 419.183 | | | 419.183 | ||
| | 419.549 | | | 419.549 | ||
| | | | 420.472 | ||
|421.173 | | 421.053 | ||
| 421.173 | |||
|423.529 | | 423.529 | ||
| | [[14/11]], 65/51, [[51/40]] | | | [[14/11]], 65/51, [[51/40]] | ||
|- | |- | ||
| | 31 | | | 31 | ||
| | 432.558 | | | 432.558 | ||
| | 432.959 | | | '''432.959''' | ||
| | 433.156 | | | 433.156 | ||
| | 433.534 | | | 433.534 | ||
| | | | 434.488 | ||
|435.212 | | 435.088 | ||
| 435.212 | |||
|437.647 | | 437.647 | ||
| | 104/81, 113/88, 122/95, [[9/7]] | | | 104/81, 113/88, 122/95, [[9/7]] | ||
|- | |- | ||
| | 32 | | | 32 | ||
| | 446.512 | | | 446.512 | ||
| | 446.925 | | | '''446.925''' | ||
| | 447.129 | | | 447.129 | ||
| | 447.519 | | | 447.519 | ||
| | | | 445.503 | ||
|449.251 | | 449.123 | ||
| 449.251 | |||
|451.765 | | 451.765 | ||
| | [[22/17]] | | | [[22/17]] | ||
|- | |- | ||
| | 33 | | | 33 | ||
| | 460.465 | | | 460.465 | ||
| | 460.892 | | | '''460.892''' | ||
| | 461.101 | | | 461.101 | ||
| | 461.504 | | | 461.504 | ||
| | | | 462.519 | ||
|463.29 | | 463.158 | ||
| 463.29 | |||
|465.882 | | 465.882 | ||
| | [[17/13]] | | | [[17/13]] | ||
|- | |- | ||
| | 34 | | | 34 | ||
| | 474.419 | | | 474.419 | ||
| | 474.858 | | | '''474.858''' | ||
| | 475.074 | | | 475.074 | ||
| | 475.489 | | | 475.489 | ||
| | | | 476.535 | ||
|477.329 | | 477.193 | ||
| 477.329 | |||
|480 | | 480 | ||
| | | | | | ||
|- | |- | ||
| | 35 | | | 35 | ||
| | 488.372 | | | 488.372 | ||
| | 488.824 | | | '''488.824''' | ||
| | 489.047 | | | 489.047 | ||
| | 489.474 | | | 489.474 | ||
| | | | 490.551 | ||
|491.3685 | | 491.228 | ||
| 491.3685 | |||
|494.118 | | 494.118 | ||
| | | | | | ||
|- | |- | ||
| | 36 | | | 36 | ||
| | 502.326 | | | 502.326 | ||
| | 502.791 | | | '''502.791''' | ||
| | 503. | | | 503.02 | ||
| | 503.459 | | | 503.459 | ||
| | | | 504.567 | ||
|505.408 | | 505.263 | ||
| 505.408 | |||
|508.235 | | 508.235 | ||
| | | | | | ||
|- | |- | ||
| | 37 | | | 37 | ||
| | 516.279 | | | 516.279 | ||
| | 516.757 | | | '''516.757''' | ||
| | 516.993 | | | 516.993 | ||
| | 517.444 | | | 517.444 | ||
| | | | 518.582 | ||
|519.448 | | 519.298 | ||
| 519.448 | |||
|522.353 | | 522.353 | ||
| | | | | | ||
|- | |- | ||
| | 38 | | | 38 | ||
| | 530.233 | | | 530.233 | ||
| | 530.724 | | | '''530.724''' | ||
| | 530.965 | | | 530.965 | ||
| | 531.429 | | | 531.429 | ||
| | | | 532.598 | ||
|533.486 | | 533.333 | ||
| 533.486 | |||
|536.471 | | 536.471 | ||
| | | | | | ||
|- | |- | ||
| | 39 | | | 39 | ||
| | 544.186 | | | 544.186 | ||
| | 544. | | | '''544.69''' | ||
| | 544.938 | | | 544.938 | ||
| | 545.414 | | | 545.414 | ||
| | | | 546.614 | ||
|547.525 | | 547.368 | ||
| 547.525 | |||
|550.558 | | 550.558 | ||
| | | | | | ||
|- | |- | ||
| | 40 | | | 40 | ||
| | 558.14 | |||
| | 558. | | | '''558.656''' | ||
| | 558.656 | |||
| | 558.911 | | | 558.911 | ||
| | 559.399 | | | 559.399 | ||
| | | | 560.63 | ||
|561.564 | | 561.4035 | ||
| 561.564 | |||
|564.706 | | 564.706 | ||
| | | | | | ||
|- | |- | ||
| | 41 | | | 41 | ||
| | 572.093 | | | 572.093 | ||
| | 572.623 | | | '''572.623''' | ||
| | 572.884 | | | 572.884 | ||
| | 573.383 | | | 573.383 | ||
| | | | 574.645 | ||
|575.603 | | 575.439 | ||
| 575.603 | |||
|578.8235 | | 578.8235 | ||
| | | | | | ||
|- | |- | ||
| | 42 | | | 42 | ||
| | 586.047 | | | 586.047 | ||
| | 586.589 | | | '''586.589''' | ||
| | 586.856 | | | 586.856 | ||
| | 587.368 | | | 587.368 | ||
| | | | 588.661 | ||
|589.642 | | 589.474 | ||
| 589.642 | |||
|592.941 | | 592.941 | ||
| | [[7/5]] | | | [[7/5]] | ||
|- | |- | ||
| | 43 | | | 43 | ||
| | 600 | |||
| | 600 | | | '''600.556''' | ||
| | 600.556 | |||
| | 600.829 | | | 600.829 | ||
| | 601.353 | | | 601.353 | ||
| | | | 602.677 | ||
|603.681 | | 603.509 | ||
| 603.681 | |||
|606.059 | | 606.059 | ||
| | [[17/12]] | | | [[17/12]] | ||
|- | |- | ||
| | 44 | | | 44 | ||
| | 613.953 | | | 613.953 | ||
| | 614.522 | | | '''614.522''' | ||
| | 614.802 | | | 614.802 | ||
| | 615.338 | | | 615.338 | ||
| | | | 616.6925 | ||
|617.72 | | 617.544 | ||
| 617.72 | |||
|620.1765 | | 620.1765 | ||
| | | | | | ||
|- | |- | ||
| | 45 | | | 45 | ||
| | 627.907 | | | 627.907 | ||
| | 628.488 | | | '''628.488''' | ||
| | 628.775 | | | 628.775 | ||
| | 629.323 | | | 629.323 | ||
| | | | 630.708 | ||
|631.7595 | | 631.578 | ||
| 631.7595 | |||
|635.294 | | 635.294 | ||
| | | | | | ||
|- | |- | ||
| | 46 | | | 46 | ||
| | 641.860 | | | 641.860 | ||
| | 642.455 | | | '''642.455''' | ||
| | 642.747 | | | 642.747 | ||
| | 643.308 | | | 643.308 | ||
| | | | 644.724 | ||
|645.799 | | 645.614 | ||
| 645.799 | |||
|649.412 | | 649.412 | ||
| | | | | | ||
|- | |- | ||
| | 47 | | | 47 | ||
| | 655.814 | | | 655.814 | ||
| | 656.421 | | | '''656.421''' | ||
| | 656.720 | | | 656.720 | ||
| | 657.293 | | | 657.293 | ||
| | | | 658.74 | ||
|659.838 | | 659.649 | ||
| 659.838 | |||
|663.519 | | 663.519 | ||
| | | | | | ||
|- | |- | ||
| | 48 | | | 48 | ||
| | 669.767 | | | 669.767 | ||
| | 670.388 | | | '''670.388''' | ||
| | 670.693 | | | 670.693 | ||
| | 671.278 | | | 671.278 | ||
| | | | 672.7555 | ||
|673.877 | | 673.684 | ||
| 673.877 | |||
|677.647 | | 677.647 | ||
| | | | | | ||
|- | |- | ||
| | 49 | | | 49 | ||
| | 683.721 | | | 683.721 | ||
| | 684.354 | | | '''684.354''' | ||
| | 684.666 | | | 684.666 | ||
| | 685.263 | | | 685.263 | ||
| | | | 686.771 | ||
|687.916 | | 687.719 | ||
| 687.916 | |||
|691.765 | | 691.765 | ||
| | | | | | ||
|- | |- | ||
| | 50 | | | 50 | ||
| | 697.674 | | | 697.674 | ||
| | 698.321 | | | '''698.321''' | ||
| | 698.639 | | | 698.639 | ||
| | 699.248 | | | 699.248 | ||
| | | | 700.787 | ||
|701.955 | | 701.754 | ||
| 701.955 | |||
|705.882 | | 705.882 | ||
| | [[3/2]] | | | [[3/2]] | ||
|- | |- | ||
| | 51 | | | 51 | ||
| | 711.628 | | | 711.628 | ||
| | 712.287 | | | '''712.287''' | ||
| | 712.611 | | | 712.611 | ||
| | 713.233 | | | 713.233 | ||
| | | | 714.803 | ||
|715.994 | | 715.7895 | ||
| 715.994 | |||
|720 | | 720 | ||
| | | | | | ||
|- | |- | ||
| | 52 | | | 52 | ||
| | 725.581 | | | 725.581 | ||
| | 726.253 | | | '''726.253''' | ||
| | 726.584 | | | 726.584 | ||
| | 727.218 | | | 727.218 | ||
| | | | 728.8185 | ||
|730.033 | | 729.825 | ||
| 730.033 | |||
|734.118 | | 734.118 | ||
| | | | | | ||
|- | |- | ||
| | 53 | | | 53 | ||
| | 739.535 | | | 739.535 | ||
| | 740.220 | | | '''740.220''' | ||
| | 740.557 | | | 740.557 | ||
| | 741.203 | | | 741.203 | ||
| | | | 742.824 | ||
|744.072 | | 743.86 | ||
| 744.072 | |||
|748.235 | | 748.235 | ||
| | | | | | ||
|- | |- | ||
| | 54 | | | 54 | ||
| | 753.488 | | | 753.488 | ||
| | 754.186 | | | '''754.186''' | ||
| | 754.530 | | | 754.530 | ||
| | 755.188 | | | 755.188 | ||
| | | | 756.85 | ||
|758.111 | | 757.895 | ||
| 758.111 | |||
|762.353 | | 762.353 | ||
| | | | | | ||
|- | |- | ||
| | 55 | | | 55 | ||
| | 767.442 | | | 767.442 | ||
| | 768.153 | | | '''768.153''' | ||
| | 768.502 | | | 768.502 | ||
| | 769.173 | | | 769.173 | ||
| | | | 770.866 | ||
|772.1505 | | 771.93 | ||
| 772.1505 | |||
|776.471 | | 776.471 | ||
| | | | | | ||
|- | |- | ||
| | 56 | | | 56 | ||
| | 781.395 | | | 781.395 | ||
| | 782.119 | | | '''782.119''' | ||
| | 782.475 | | | 782.475 | ||
| | 783.158 | | | 783.158 | ||
| | | | 784.881 | ||
|786.19 | | 785.965 | ||
| 786.19 | |||
|790.588 | | 790.588 | ||
| | | | | | ||
|- | |- | ||
| | 57 | | | 57 | ||
| | 795.349 | | | 795.349 | ||
| | 796.085 | | | '''796.085''' | ||
| | 796.448 | | | 796.448 | ||
| | 797.143 | | | 797.143 | ||
| | | | 798.897 | ||
|800.229 | | 800 | ||
| 800.229 | |||
|804.706 | | 804.706 | ||
| | | | | | ||
|- | |- | ||
| | 58 | | | 58 | ||
| | 809.302 | | | 809.302 | ||
| | 810.052 | | | '''810.052''' | ||
| | 810.421 | | | 810.421 | ||
| | 811.128 | | | 811.128 | ||
| | | | 812.913 | ||
|814.268 | | 814.035 | ||
| 814.268 | |||
|818.8235 | | 818.8235 | ||
| | [[8/5]] | | | [[8/5]] | ||
|- | |- | ||
| | 59 | | | 59 | ||
| | 823.256 | | | 823.256 | ||
| | 824.018 | | | '''824.018''' | ||
| | 824.393 | | | 824.393 | ||
| | 825.113 | | | 825.113 | ||
| | | | 826.929 | ||
|828.307 | | 828.07 | ||
| 828.307 | |||
|832.941 | | 832.941 | ||
| | | | | | ||
|- | |- | ||
| | 60 | | | 60 | ||
| | 837.209 | | | 837.209 | ||
| | 837.985 | | | '''837.985''' | ||
| | 838.366 | | | 838.366 | ||
| | 839.098 | | | 839.098 | ||
| | | | 840.944 | ||
|842.346 | | 842.105 | ||
| 842.346 | |||
|847.059 | | 847.059 | ||
| | [[13/8]] | | | [[13/8]] | ||
|- | |- | ||
| | 61 | | | 61 | ||
| | 851.163 | | | 851.163 | ||
| | 851.951 | | | '''851.951''' | ||
| | 852.339 | | | 852.339 | ||
| | 853.083 | | | 853.083 | ||
| | | | 854.96 | ||
|856.385 | | 856.14 | ||
| 856.385 | |||
|861.1765 | | 861.1765 | ||
| | | | | | ||
|- | |- | ||
| | 62 | | | 62 | ||
| | 865.116 | | | 865.116 | ||
| | 865.917 | | | '''865.917''' | ||
| | 866.312 | | | 866.312 | ||
| | 867.068 | | | 867.068 | ||
| | | | 868.976 | ||
|870.424 | | 870.175 | ||
| 870.424 | |||
|875.294 | | 875.294 | ||
| | | | | | ||
|- | |- | ||
| | 63 | | | 63 | ||
| | 879.070 | | | 879.070 | ||
| | 879.884 | | | '''879.884''' | ||
| | 880.285 | | | 880.285 | ||
| | 881.053 | | | 881.053 | ||
| | | | 882.9915 | ||
|884.463 | | 884.2105 | ||
| 884.463 | |||
|889.412 | | 889.412 | ||
| | [[5/3]] | | | [[5/3]] | ||
|- | |- | ||
| | 64 | | | 64 | ||
| | 893.023 | | | 893.023 | ||
| | 893.850 | | | '''893.850''' | ||
| | 894.257 | | | 894.257 | ||
| | 895.038 | | | 895.038 | ||
| | | | 897.007 | ||
|898.502 | | 898.246 | ||
| 898.502 | |||
|903.529 | | 903.529 | ||
| | | | | | ||
|- | |- | ||
| | 65 | | | 65 | ||
| | 906.977 | | | 906.977 | ||
| | 907.817 | | | '''907.817''' | ||
| | 908.230 | | | 908.230 | ||
| | 909.023 | | | 909.023 | ||
| | | | 911.023 | ||
|912.5415 | | 912.281 | ||
| 912.5415 | |||
|917.647 | | 917.647 | ||
| | | | | | ||
|- | |- | ||
| | 66 | | | 66 | ||
| | 920.930 | | | 920.930 | ||
| | 921.783 | | | '''921.783''' | ||
| | 922.203 | | | 922.203 | ||
| | 923.008 | | | 923.008 | ||
| | | | 925.039 | ||
|926.581 | | 926.316 | ||
| 926.581 | |||
|931.1765 | | 931.1765 | ||
| | | | | | ||
|- | |- | ||
| | 67 | | | 67 | ||
| | 934.884 | | | 934.884 | ||
| | 935.750 | | | '''935.750''' | ||
| | 936.176 | | | 936.176 | ||
| | 936.993 | | | 936.993 | ||
| | | | 939.0555 | ||
|940.692 | | 940.351 | ||
| 940.692 | |||
|945.882 | | 945.882 | ||
| | | | | | ||
|- | |- | ||
| | 68 | | | 68 | ||
| | 948.837 | | | 948.837 | ||
| | 949.716 | | | '''949.716''' | ||
| | 950.148 | | | 950.148 | ||
| | 950.978 | | | 950.978 | ||
| | | | 953.07 | ||
|954.659 | | 954.386 | ||
| 954.659 | |||
|960 | | 960 | ||
| | | | | | ||
|- | |- | ||
| | 69 | | | 69 | ||
| | 962.791 | | | 962.791 | ||
| | 963.682 | | | '''963.682''' | ||
| | 964.121 | | | 964.121 | ||
| | 964.962 | | | 964.962 | ||
| | | | 967.086 | ||
|968.698 | | 968.421 | ||
| 968.698 | |||
|974.118 | | 974.118 | ||
| | [[7/4]] | | | [[7/4]] | ||
|- | |- | ||
| | 70 | | | 70 | ||
| | 976.744 | | | 976.744 | ||
| | 977.649 | | | '''977.649''' | ||
| | 978.094 | | | 978.094 | ||
| | 978.947 | | | 978.947 | ||
| | | | 981.102 | ||
|982.737 | | 982.456 | ||
| 982.737 | |||
|988.235 | | 988.235 | ||
| | | | | | ||
|- | |- | ||
| | 71 | | | 71 | ||
| | 990.698 | | | 990.698 | ||
| | 991.615 | | | '''991.615''' | ||
| | 992.067 | | | 992.067 | ||
| | 992.932 | | | 992.932 | ||
| | | | 995.1175 | ||
|996.776 | | 996.491 | ||
| 996.776 | |||
|1002.353 | | 1002.353 | ||
| | [[16/9]] | | | [[16/9]] | ||
|- | |- | ||
| | 72 | | | 72 | ||
| | 1004.651 | | | 1004.651 | ||
| | 1005.582 | | | '''1005.582''' | ||
| | 1006.039 | | | 1006.039 | ||
| | 1006.917 | | | 1006.917 | ||
| | | | 1009.133 | ||
|1010.815 | | 1010.526 | ||
| 1010.815 | |||
|1016.471 | | 1016.471 | ||
| | [[25/14]] | | | [[25/14]] | ||
|- | |- | ||
| | 73 | | | 73 | ||
| | 1018.605 | | | 1018.605 | ||
| | 1019.548 | | | '''1019.548''' | ||
| | 1020.012 | | | 1020.012 | ||
| | 1020.902 | | | 1020.902 | ||
| | | | 1023.149 | ||
|1024.854 | | 1024.561 | ||
| 1024.854 | |||
|1030.588 | | 1030.588 | ||
| | [[9/5]] | | | [[9/5]] | ||
|- | |- | ||
| | 74 | | | 74 | ||
| | 1032.558 | | | 1032.558 | ||
| | 1033.514 | | | '''1033.514''' | ||
| | 1033.985 | | | 1033.985 | ||
| | 1034.887 | | | 1034.887 | ||
| | | | 1037.165 | ||
|1038.893 | | 1038.5965 | ||
| 1038.893 | |||
|1044.706 | | 1044.706 | ||
| | | | | | ||
|- | |- | ||
| | 75 | | | 75 | ||
| | 1046.512 | | | 1046.512 | ||
| | 1047.481 | | | '''1047.481''' | ||
| | 1047.958 | | | 1047.958 | ||
| | 1048.872 | | | 1048.872 | ||
| | | | 1051.18 | ||
|1052.9325 | | 1052.632 | ||
| 1052.9325 | |||
|1058.8235 | | 1058.8235 | ||
| | [[11/6]] | | | [[11/6]] | ||
|- | |- | ||
| | 76 | | | 76 | ||
| | 1060.465 | | | 1060.465 | ||
| | 1061.447 | | | '''1061.447''' | ||
| | 1061.931 | | | 1061.931 | ||
| | 1062.857 | | | 1062.857 | ||
| | | | 1065.196 | ||
| | | 1066.667 | ||
| 1066.972 | |||
|1072.941 | | 1072.941 | ||
| | | | | | ||
|- | |- | ||
| | 77 | | | 77 | ||
| | 1074.419 | | | 1074.419 | ||
| | 1075.414 | | | '''1075.414''' | ||
| | 1075.903 | | | 1075.903 | ||
| | 1076.842 | | | 1076.842 | ||
| | | | 1079.212 | ||
|1081.011 | | 1080.702 | ||
| 1081.011 | |||
|1087.059 | | 1087.059 | ||
| | [[28/15]] | | | [[28/15]] | ||
|- | |- | ||
| | 78 | | | 78 | ||
| | 1088.372 | | | 1088.372 | ||
| | 1089.380 | | | '''1089.380''' | ||
| | 1089.876 | | | 1089.876 | ||
| | 1090.827 | | | 1090.827 | ||
| | | | 1093.228 | ||
|1095.05 | | 1094.737 | ||
| 1095.05 | |||
|1101.1765 | | 1101.1765 | ||
| | [[15/8]] | | | [[15/8]] | ||
|- | |- | ||
| | 79 | | | 79 | ||
| | 1102.326 | | | 1102.326 | ||
| | 1103.346 | | | '''1103.346''' | ||
| | 1103.849 | | | 1103.849 | ||
| | 1104.812 | | | 1104.812 | ||
| | | | 1107.243 | ||
|1109.089 | | 1108.772 | ||
| 1109.089 | |||
|1115.294 | | 1115.294 | ||
| | | | | | ||
|- | |- | ||
| | 80 | | | 80 | ||
| | 1116.279 | | | 1116.279 | ||
| | 1117.313 | | | '''1117.313''' | ||
| | 1117.822 | | | 1117.822 | ||
| | 1118.797 | | | 1118.797 | ||
| | | | 1121.259 | ||
|1123.128 | | 1122.807 | ||
| 1123.128 | |||
|1129.412 | | 1129.412 | ||
| | | | | | ||
|- | |- | ||
| | 81 | | | 81 | ||
| | 1130.233 | | | 1130.233 | ||
| | 1131.279 | | | '''1131.279''' | ||
| | 1131.794 | | | 1131.794 | ||
| | 1132.782 | | | 1132.782 | ||
| | | | 1135.275 | ||
|1137.167 | | 1136.842 | ||
| 1137.167 | |||
|1143.529 | | 1143.529 | ||
| | | | | | ||
|- | |- | ||
| | 82 | | | 82 | ||
| | 1144.186 | | | 1144.186 | ||
| | 1145.246 | | | '''1145.246''' | ||
| | 1145.767 | | | 1145.767 | ||
| | 1146.767 | | | 1146.767 | ||
| | | | 1149.291 | ||
|1151.206 | | 1150.877 | ||
| 1151.206 | |||
|1157.647 | | 1157.647 | ||
| | | | | | ||
|- | |- | ||
| | 83 | | | 83 | ||
| | 1158.14 | |||
| | 1158. | | | '''1159.212''' | ||
| | 1159.212 | | | 1159.74 | ||
| | 1159. | |||
| | 1160.752 | | | 1160.752 | ||
| | | | 1163.306 | ||
|1165.245 | | 1164.912 | ||
| 1165.245 | |||
|1171.765 | | 1171.765 | ||
| | | | | | ||
|- | |- | ||
| | 84 | | | 84 | ||
| | 1172.093 | | | 1172.093 | ||
| | 1173.178 | | | '''1173.178''' | ||
| | 1173.713 | | | 1173.713 | ||
| | 1174.737 | | | 1174.737 | ||
| | | | 1177.322 | ||
|1179.284 | | 1178.947 | ||
| 1179.284 | |||
|1185.882 | | 1185.882 | ||
| | | | | | ||
|- | |- | ||
| | 85 | | | 85 | ||
| | 1186.047 | | | 1186.047 | ||
| | 1187.145 | | | '''1187.145''' | ||
| | 1187.685 | | | 1187.685 | ||
| | 1188.722 | | | 1188.722 | ||
| | | | 1191.338 | ||
|1193.3235 | | 1192.9825 | ||
| 1193.3235 | |||
|1200 | | 1200 | ||
| | | | | | ||
|- | |- | ||
| | 86 | | | 86 | ||
| | 1200 | |||
| | 1200 | | | '''1201.111''' | ||
| | 1201.111 | |||
| | 1201.658 | | | 1201.658 | ||
| | 1202.707 | | | 1202.707 | ||
| | | | 1205.3535 | ||
|1207.363 | | 1207.0175 | ||
| 1207.363 | |||
|1214.118 | | 1214.118 | ||
| | [[Octave|2/1]] | | | [[Octave| 2/1]] | ||
|- | |- | ||
|87 | | 87 | ||
| 1213.9535 | |||
|1213.9535 | | '''1215.078''' | ||
|1215.078 | | 1215.631 | ||
|1215.631 | | 1216.692 | ||
|1216.692 | | 1219.369 | ||
| | | 1221.053 | ||
|1221. | | 1221.402 | ||
| | | 1228.235 | ||
|1228.235 | | | ||
| | |||
|- | |- | ||
|88 | | 88 | ||
| 1227.907 | |||
|1227.907 | | '''1229.044''' | ||
|1229.044 | | 1229.604 | ||
|1229.604 | | 1230.677 | ||
|1230.677 | | 1233.385 | ||
| | | 1235.088 | ||
|1235. | | 1235.441 | ||
| | | 1242.353 | ||
|1242.353 | | | ||
| | |||
|- | |- | ||
|89 | | 89 | ||
| 1241.8605 | |||
|1241.8605 | | '''1243.0105''' | ||
|1243.0105 | | 1243.577 | ||
|1243.577 | | 1244.662 | ||
|1244.662 | | 1247.401 | ||
| | | 1249.123 | ||
|1249. | | 1249.48 | ||
| | | 1256.471 | ||
|1256.471 | | | ||
| | |||
|- | |- | ||
|90 | | 90 | ||
| 1255.814 | |||
|1255.814 | | '''1256.698''' | ||
|1256.698 | | 1257.549 | ||
|1257.549 | | 1258.647 | ||
|1258.647 | | 1261.4165 | ||
| | | 1263.158 | ||
|1263. | | 1263.519 | ||
| | | 1270.588 | ||
|1270.588 | | | ||
| | |||
|- | |- | ||
|91 | | 91 | ||
| 1269.767 | |||
|1269.767 | | '''1270.943''' | ||
|1270.943 | | 1271.522 | ||
|1271.522 | | 1272.632 | ||
|1272.632 | | 1275.432 | ||
| | | 1277.193 | ||
|1277. | | 1277.558 | ||
| | | 1284.706 | ||
|1284.706 | | | ||
| | |||
|- | |- | ||
|92 | | 92 | ||
| 1283.721 | |||
|1283.721 | | '''1284.91''' | ||
|1284.91 | | 1285.495 | ||
|1285.495 | | 1286.617 | ||
|1286.617 | | 1289.448 | ||
| | | 1291.228 | ||
|1291. | | 1291.597 | ||
| | | 1298.8235 | ||
|1298.8235 | | | ||
| | |||
|- | |- | ||
|93 | | 93 | ||
| 1297.674 | |||
|1297.674 | | '''1298.876''' | ||
|1298.876 | | 1299.468 | ||
|1299.468 | | 1300.602 | ||
|1300.602 | | 1303.464 | ||
| | | 1305.263 | ||
|1305. | | 1305.636 | ||
| | | 1312.941 | ||
|1312.941 | | | ||
| | |||
|- | |- | ||
|94 | | 94 | ||
| 1311.628 | |||
|1311.628 | | '''1312.426''' | ||
|1312.426 | | 1314.404 | ||
|1314.404 | | 1314.5865 | ||
|1314.5865 | | 1317.479 | ||
| | | 1319.298 | ||
|1319. | | 1319.675 | ||
| | | 1327.059 | ||
|1327.059 | | | ||
| | |||
|- | |- | ||
|95 | | 95 | ||
| 1325.581 | |||
|1325.581 | | '''1326.809''' | ||
|1326.809 | | 1327.413 | ||
|1327.413 | | 1328.5715 | ||
|1328.5715 | | 1331.495 | ||
| | | 1333.333 | ||
|1333. | | 1333.7145 | ||
| | | 1341.1765 | ||
|1341.1765 | | | ||
| | |||
|- | |- | ||
|96 | | 96 | ||
| 1339.535 | |||
|1339.535 | | '''1340.775''' | ||
|1340.775 | | 1341.386 | ||
|1341.386 | | 1342.5565 | ||
|1342.5565 | | 1345.511 | ||
| | | 1347.368 | ||
|1347. | | 1347.754 | ||
| | | 1355.294 | ||
|1355.294 | | | ||
| | |||
|- | |- | ||
|97 | | 97 | ||
| 1353.488 | |||
|1353.488 | | '''1354.742''' | ||
|1354.742 | | 1355.358 | ||
|1355.358 | | 1356.414 | ||
|1356.414 | | 1359.527 | ||
| | | 1361.4035 | ||
|1361. | | 1361.793 | ||
| | | 1369.412 | ||
|1369.412 | | | ||
| | |||
|- | |- | ||
|98 | | 98 | ||
| 1367.442 | |||
|1367.442 | | '''1368.708''' | ||
|1368.708 | | 1369.3315 | ||
|1369.3315 | | 1370.526 | ||
|1370.526 | | 1373.542 | ||
| | | 1375.439 | ||
|1375. | | 1375.832 | ||
| | | 1383.529 | ||
|1383.529 | | | ||
| | |||
|- | |- | ||
|99 | | 99 | ||
| 1381.395 | |||
|1381.395 | | '''1382.675''' | ||
|1382.675 | | 1383.304 | ||
|1383.304 | | 1384.511 | ||
|1384.511 | | 1387.558 | ||
| | | 1389.474 | ||
|1389. | | 1389.871 | ||
| | | 1397.647 | ||
|1397.647 | | 20/9 | ||
|20/9 | |||
|- | |- | ||
|100 | | 100 | ||
| 1395.349 | |||
|1395.349 | | '''1396.641''' | ||
|1396.641 | | 1397.277 | ||
|1397.277 | | 1398.496 | ||
|1398.496 | | 1401.574 | ||
| | | 1403.509 | ||
|1403. | | 1403.91 | ||
| | | 1411.765 | ||
|1411.765 | | 9/4 | ||
|9/4 | |||
|} | |} | ||
== | |||
{{todo|inline=1|rework|comment=simplify or split table somehow so it works better on phone displays and vertical monitors; expand the introduction to talk about who developed the scale and why, what they were trying to achieve; add multimedia, either links to music written with the scale, or diagrams of the scale’s properties, or both}} | |||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] |