39edo: Difference between revisions
→Regular temperament properties: cleanup; review the temp table |
→Regular temperament properties: +cents; re-normalize |
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| Line 523: | Line 523: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all | {| class="wikitable center-all right-3 left-4 left-5" | ||
|+Table of temperaments by generator | |||
|- | |- | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents* | |||
! Temperaments | ! Temperaments | ||
! MOS Scales | ! MOS Scales | ||
| Line 532: | Line 534: | ||
| 1 | | 1 | ||
| 1\39 | | 1\39 | ||
| 30.8 | |||
| | | | ||
| | | | ||
| Line 537: | Line 540: | ||
| 1 | | 1 | ||
| 2\39 | | 2\39 | ||
| 61.5 | |||
| [[Unicorn]] (39d) | | [[Unicorn]] (39d) | ||
| [[1L 18s]], [[19L 1s]] | | [[1L 18s]], [[19L 1s]] | ||
| Line 542: | Line 546: | ||
| 1 | | 1 | ||
| 4\39 | | 4\39 | ||
| 123.1 | |||
| [[Negri]] (39) | | [[Negri]] (39) | ||
| [[1L 8s]], [[9L 1s]], [[10L 9s]], [[10L 19s]] | | [[1L 8s]], [[9L 1s]], [[10L 9s]], [[10L 19s]] | ||
| Line 547: | Line 552: | ||
| 1 | | 1 | ||
| 5\39 | | 5\39 | ||
| 153.8 | |||
| | | | ||
| [[1L 6s]], [[7L 1s]], [[8L 7s]], [[8L 15s]], [[8L 23s]] | | [[1L 6s]], [[7L 1s]], [[8L 7s]], [[8L 15s]], [[8L 23s]] | ||
| Line 552: | Line 558: | ||
| 1 | | 1 | ||
| 7\39 | | 7\39 | ||
| 215.4 | |||
| [[Machine]] (39d) | | [[Machine]] (39d) | ||
| [[1L 4s]], [[5L 1s]], [[6L 5s]], [[11L 6s]], [[11L 17s]] | | [[1L 4s]], [[5L 1s]], [[6L 5s]], [[11L 6s]], [[11L 17s]] | ||
| Line 557: | Line 564: | ||
| 1 | | 1 | ||
| 8\39 | | 8\39 | ||
| 246.2 | |||
| [[Immunity]] (39) / [[immunized]] (39d) | | [[Immunity]] (39) / [[immunized]] (39d) | ||
| [[4L 1s]], [[5L 4s]], [[5L 9s]], [[5L 14s]], [[5L 19s]], [[5L 24s]], [[5L 29s]] | | [[4L 1s]], [[5L 4s]], [[5L 9s]], [[5L 14s]], [[5L 19s]], [[5L 24s]], [[5L 29s]] | ||
| Line 562: | Line 570: | ||
| 1 | | 1 | ||
| 10\39 | | 10\39 | ||
| 307.7 | |||
| [[Familia]] (39df) | | [[Familia]] (39df) | ||
| [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]], [[4L 23s]], [[4L 27s]], [[4L 31s]] | | [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]], [[4L 23s]], [[4L 27s]], [[4L 31s]] | ||
| Line 567: | Line 576: | ||
| 1 | | 1 | ||
| 11\39 | | 11\39 | ||
| 338.5 | |||
| [[Amity]] (39) / [[accord]] (39d) | | [[Amity]] (39) / [[accord]] (39d) | ||
| [[3L 1s]], [[4L 3s]], [[7L 4s]], [[7L 11s]], [[7L 18s]], [[7L 25s]] | | [[3L 1s]], [[4L 3s]], [[7L 4s]], [[7L 11s]], [[7L 18s]], [[7L 25s]] | ||
| Line 572: | Line 582: | ||
| 1 | | 1 | ||
| 14\39 | | 14\39 | ||
| 430.8 | |||
| [[Hamity]] (39df) | | [[Hamity]] (39df) | ||
| [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[14L 11s]] | | [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[14L 11s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 16 | | 16\39 | ||
| 492.3 | |||
| [[Quasisuper]] (39d) | | [[Quasisuper]] (39d) | ||
| [[2L 3s]], [[5L 2s]], [[5L 7s]], [[5L 12s]], [[17L 5s]] | | [[2L 3s]], [[5L 2s]], [[5L 7s]], [[5L 12s]], [[17L 5s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 17 | | 17\39 | ||
| 523.1 | |||
| [[Mavila]] (39bc) | | [[Mavila]] (39bc) | ||
| [[2L 3s]], [[2L 5s]], [[7L 2s]], [[7L 9s]], [[16L 7s]] | | [[2L 3s]], [[2L 5s]], [[7L 2s]], [[7L 9s]], [[16L 7s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 19 | | 19\39 | ||
| 584.6 | |||
| | | | ||
| [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[ | | [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], [[2L 11s]], [[2L 13s]] etc. … [[2L 35s]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 1\39 | | 1\39 | ||
| 30.8 | |||
| | |||
| | | | ||
|- | |- | ||
| 3 | | 3 | ||
| 2\39 | | 2\39 | ||
| 61.5 | |||
| | | | ||
| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[3L 12s]], [[3L 15s]], [[18L 3s]] | | [[3L 3s]], [[3L 6s]], [[3L 9s]], [[3L 12s]], [[3L 15s]], [[18L 3s]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 3 | | 6\39 | ||
| 184.6 | |||
| [[Terrain]] | |||
| [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15]], [[6L 21s]], [[6L 27s]] | |||
|- | |||
| 3 | |||
| 8\39<br>(5\39) | |||
| 246.2<br>(153.8) | |||
| [[Triforce]] (39) | |||
| [[3L 3s]], [[6L 3s]], [[9L 6s]], [[15L 9s]] | |||
|- | |||
| 3 | |||
| 16\39<br>(3\39) | |||
| 492.3<br>(92.3) | |||
| [[Augene]] (39d) | | [[Augene]] (39d) | ||
| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]], [[12L 15s]] | | [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]], [[12L 15s]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 4\39 | | 17\39<br>(4\39) | ||
| 523.1<br>(123.0) | |||
| [[Deflated]] (39b) | | [[Deflated]] (39b) | ||
| [[3L 3s]], [[3L 6s]], [[9L 3s]], [[9L 12s]], [[9L 21s]] | | [[3L 3s]], [[3L 6s]], [[9L 3s]], [[9L 12s]], [[9L 21s]] | ||
|- | |- | ||
| 13 | | 13 | ||
| 1\39 | | 16\39<br>(1\39) | ||
| 492.3<br>(30.8) | |||
| [[Tridecatonic]] | | [[Tridecatonic]] | ||
| [[13L 13s]] | | [[13L 13s]] | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== 39edo and world music == | == 39edo and world music == | ||