29edt: Difference between revisions
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'''29EDT''' is the [[Edt|equal division of the third harmonic]] into 29 parts of 65.5847 [[cent|cents]] each, corresponding to 18.2970 [[edo]]. It is related to the [[Metric microtemperaments #Luminal|luminal temperament]]. | '''29EDT''' is the [[Edt|equal division of the third harmonic]] into 29 parts of 65.5847 [[cent|cents]] each, corresponding to 18.2970 [[edo]]. It is related to the [[Metric microtemperaments #Luminal|luminal temperament]]. | ||
{| class="wikitable" | {| class="wikitable right-2 right-3" | ||
|- | |- | ||
! | ! steps | ||
! | ! [[cent]]s | ||
! [[hekt]]s | ! [[hekt]]s | ||
! corresponding <br>JI intervals | ! corresponding <br>JI intervals | ||
! comments | ! comments | ||
|- | |- | ||
| | | 0 | ||
| | | 0.0000 | ||
| 0.0000 | |||
| [[1/1]] | |||
| | | | ||
|- | |- | ||
| Line 75: | Line 77: | ||
| 11 | | 11 | ||
| 721.4312 | | 721.4312 | ||
| 493. | | 493.1034 | ||
| | | | ||
| pseudo-[[3/2]] | | pseudo-[[3/2]] | ||
| Line 81: | Line 83: | ||
| 12 | | 12 | ||
| 787.0159 | | 787.0159 | ||
| 537. | | 537.9310 | ||
| 63/40, 52/33 | | 63/40, 52/33 | ||
| pseudo-[[8/5]] | | pseudo-[[8/5]] | ||
| Line 111: | Line 113: | ||
| 17 | | 17 | ||
| 1114.9391 | | 1114.9391 | ||
| 772. | | 772.0690 | ||
| 99/52, 40/21 | | 99/52, 40/21 | ||
| pseudo-[[15/8]] | | pseudo-[[15/8]] | ||
| Line 117: | Line 119: | ||
| 18 | | 18 | ||
| 1180.5238 | | 1180.5238 | ||
| 806. | | 806.8966 | ||
| | | | ||
| pseudooctave | | pseudooctave | ||
| Line 183: | Line 185: | ||
| 29 | | 29 | ||
| 1901.9550 | | 1901.9550 | ||
| 1300 | | 1300.0000 | ||
| | | [[3/1]] | ||
| [[3/2|just perfect fifth]] plus an octave | | [[3/2|just perfect fifth]] plus an octave | ||
|} | |} | ||
Revision as of 07:11, 25 May 2021
29EDT is the equal division of the third harmonic into 29 parts of 65.5847 cents each, corresponding to 18.2970 edo. It is related to the luminal temperament.
| steps | cents | hekts | corresponding JI intervals |
comments |
|---|---|---|---|---|
| 0 | 0.0000 | 0.0000 | 1/1 | |
| 1 | 65.5847 | 44.8276 | 27/26 | |
| 2 | 131.1693 | 89.6552 | 14/13, 27/25, 55/51 | |
| 3 | 196.7540 | 134.4828 | 9/8, 28/25 | pseudo-10/9 |
| 4 | 262.3386 | 179.3103 | 7/6 | |
| 5 | 327.9233 | 224.1379 | pseudo-6/5 | |
| 6 | 393.5079 | 268.9655 | 64/51 | pseudo-5/4 |
| 7 | 459.0926 | 313.7931 | 13/10 | |
| 8 | 524.6772 | 358.6206 | 65/48, 27/20 | |
| 9 | 590.2619 | 403.4483 | 45/32 | |
| 10 | 655.8466 | 448.2759 | 16/11 | |
| 11 | 721.4312 | 493.1034 | pseudo-3/2 | |
| 12 | 787.0159 | 537.9310 | 63/40, 52/33 | pseudo-8/5 |
| 13 | 852.6005 | 582.7586 | 18/11 | flat pseudo-5/3 |
| 14 | 918.1852 | 627.5862 | 17/10 | sharp pseudo-5/3 |
| 15 | 983.7698 | 672.4138 | 30/17 | flat pseudo-9/5 |
| 16 | 1049.3545 | 717.2414 | 11/6 | sharp pseudo-9/5 |
| 17 | 1114.9391 | 772.0690 | 99/52, 40/21 | pseudo-15/8 |
| 18 | 1180.5238 | 806.8966 | pseudooctave | |
| 19 | 1246.1084 | 851.7241 | 33/16 | |
| 20 | 1311.6931 | 896.5517 | 32/15 | |
| 21 | 1377.2778 | 941.3794 | 144/65, 20/9 | |
| 22 | 1442.8624 | 986.2069 | 30/13 | pseudo-7/3 (7/6 plus pseudooctave) |
| 23 | 1508.4471 | 1031.0345 | 153/64 | pseudo-12/5 |
| 24 | 1574.0317 | 1075.8621 | pseudo-5/2 | |
| 25 | 1639.6164 | 1120.6897 | 18/7 | |
| 26 | 1705.2010 | 1165.5172 | 8/3, 75/28 | pseudo-27/10 |
| 27 | 1770.7857 | 1210.3448 | 39/14, 25/9, 153/55 | |
| 28 | 1836.3703 | 1255.1724 | 26/9 | |
| 29 | 1901.9550 | 1300.0000 | 3/1 | just perfect fifth plus an octave |