14edf: Difference between revisions
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Lookalikes: [[24edo]], [[38edt]] | Lookalikes: [[24edo]], [[38edt]] | ||
==Intervals== | |||
{| class="wikitable" | |||
|+ | |||
! | |||
!ed31\54 | |||
!ed121/81 | |||
!ed3/2 | |||
!Golden (~ed10\17) | |||
!ed34\57 (~47ed4!) | |||
|- | |||
|1 | |||
|49.20635 | |||
|49.6297 | |||
|50.1396 | |||
|50.41825 | |||
|51.1278 | |||
|- | |||
|2 | |||
|98.4127 | |||
|99.2594 | |||
|100.2793 | |||
|100.8365 | |||
|102.2556 | |||
|- | |||
|3 | |||
|147.61905 | |||
|148.8891 | |||
|150.4189 | |||
|151.2547 | |||
|153.3835 | |||
|- | |||
|4 | |||
|196.8254 | |||
|198.5188 | |||
|200.5586 | |||
|201.673 | |||
|204.5113 | |||
|- | |||
|5 | |||
|246.03175 | |||
|248.1485 | |||
|250.6982 | |||
|252.0912 | |||
|255.6391 | |||
|- | |||
|6 | |||
|295.2381 | |||
|297.782 | |||
|300.8379 | |||
|302.5095 | |||
|306.7669 | |||
|- | |||
|7 | |||
|344.4444 | |||
|347.408 | |||
|350.9775 | |||
|352.9277 | |||
|357.8947 | |||
|- | |||
|8 | |||
|393.6508 | |||
|397.03765 | |||
|401.1171 | |||
|403.346 | |||
|409.0226 | |||
|- | |||
|9 | |||
|442.8571 | |||
|446.66735 | |||
|451.2568 | |||
|453.7642 | |||
|460.1504 | |||
|- | |||
|10 | |||
|492.0635 | |||
|496.2971 | |||
|501.3964 | |||
|504.1825 | |||
|511.2781 | |||
|- | |||
|11 | |||
|541.2698 | |||
|545.9268 | |||
|551.536 | |||
|554.6007 | |||
|562.406 | |||
|- | |||
|12 | |||
|590.4762 | |||
|595.5565 | |||
|601.6757 | |||
|605.019 | |||
|613.5338 | |||
|- | |||
|13 | |||
|639.6825 | |||
|645.1862 | |||
|651.8154 | |||
|655.4372 | |||
|664.66165 | |||
|- | |||
|14 | |||
|688.8889 | |||
|694.8158 | |||
|701.955 | |||
|705.85545 | |||
|715.7895 | |||
|- | |||
|15 | |||
|738.0952 | |||
|744.4456 | |||
|752.0946 | |||
|756.2736 | |||
|766.9173 | |||
|- | |||
|16 | |||
|787.3016 | |||
|794.0753 | |||
|802.2343 | |||
|806.6919 | |||
|818.0451 | |||
|- | |||
|17 | |||
|836.5079 | |||
|843.705 | |||
|852.3739 | |||
|857.1102 | |||
|869.1729 | |||
|- | |||
|18 | |||
|885.7143 | |||
|893.3347 | |||
|902.5136 | |||
|907.5284 | |||
|920.30075 | |||
|- | |||
|19 | |||
|934.9206 | |||
|942.9644 | |||
|952.6532 | |||
|957.9467 | |||
|971.4286 | |||
|- | |||
|20 | |||
|984.127 | |||
|992.5941 | |||
|1002.7929 | |||
|1008.3649 | |||
|1022.5564 | |||
|- | |||
|21 | |||
|1033.333 | |||
|1042.2238 | |||
|1052.9235 | |||
|1058.7832 | |||
|1073.6842 | |||
|- | |||
|22 | |||
|1082.5397 | |||
|1091.8535 | |||
|1103.0721 | |||
|1109.2014 | |||
|1124.812 | |||
|- | |||
|23 | |||
|1131.7646 | |||
|1141.4832 | |||
|1153.2118 | |||
|1159.6297 | |||
|1175.93985 | |||
|- | |||
|24 | |||
|1180.9524 | |||
|1191.1129 | |||
|1203.3514 | |||
|1210.0379 | |||
|1227.0677 | |||
|} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
[[Category:todo:improve synopsis]] | [[Category:todo:improve synopsis]] |
Revision as of 22:10, 20 February 2019
Division of the just perfect fifth into 14 equal parts (14EDF) is related to 24 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 50.1396 cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.
Intervals
ed31\54 | ed121/81 | ed3/2 | Golden (~ed10\17) | ed34\57 (~47ed4!) | |
---|---|---|---|---|---|
1 | 49.20635 | 49.6297 | 50.1396 | 50.41825 | 51.1278 |
2 | 98.4127 | 99.2594 | 100.2793 | 100.8365 | 102.2556 |
3 | 147.61905 | 148.8891 | 150.4189 | 151.2547 | 153.3835 |
4 | 196.8254 | 198.5188 | 200.5586 | 201.673 | 204.5113 |
5 | 246.03175 | 248.1485 | 250.6982 | 252.0912 | 255.6391 |
6 | 295.2381 | 297.782 | 300.8379 | 302.5095 | 306.7669 |
7 | 344.4444 | 347.408 | 350.9775 | 352.9277 | 357.8947 |
8 | 393.6508 | 397.03765 | 401.1171 | 403.346 | 409.0226 |
9 | 442.8571 | 446.66735 | 451.2568 | 453.7642 | 460.1504 |
10 | 492.0635 | 496.2971 | 501.3964 | 504.1825 | 511.2781 |
11 | 541.2698 | 545.9268 | 551.536 | 554.6007 | 562.406 |
12 | 590.4762 | 595.5565 | 601.6757 | 605.019 | 613.5338 |
13 | 639.6825 | 645.1862 | 651.8154 | 655.4372 | 664.66165 |
14 | 688.8889 | 694.8158 | 701.955 | 705.85545 | 715.7895 |
15 | 738.0952 | 744.4456 | 752.0946 | 756.2736 | 766.9173 |
16 | 787.3016 | 794.0753 | 802.2343 | 806.6919 | 818.0451 |
17 | 836.5079 | 843.705 | 852.3739 | 857.1102 | 869.1729 |
18 | 885.7143 | 893.3347 | 902.5136 | 907.5284 | 920.30075 |
19 | 934.9206 | 942.9644 | 952.6532 | 957.9467 | 971.4286 |
20 | 984.127 | 992.5941 | 1002.7929 | 1008.3649 | 1022.5564 |
21 | 1033.333 | 1042.2238 | 1052.9235 | 1058.7832 | 1073.6842 |
22 | 1082.5397 | 1091.8535 | 1103.0721 | 1109.2014 | 1124.812 |
23 | 1131.7646 | 1141.4832 | 1153.2118 | 1159.6297 | 1175.93985 |
24 | 1180.9524 | 1191.1129 | 1203.3514 | 1210.0379 | 1227.0677 |