27edo: Difference between revisions
ArrowHead294 (talk | contribs) m →Commas |
m →Regular temperament properties: style and comma names |
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{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
Line 614: | Line 614: | ||
| 2.3 | | 2.3 | ||
| {{monzo| 43 -27 }} | | {{monzo| 43 -27 }} | ||
| | | {{mapping| 27 43 }} | ||
| −2.89 | | −2.89 | ||
| 2.88 | | 2.88 | ||
Line 621: | Line 621: | ||
| 2.3.5 | | 2.3.5 | ||
| 128/125, 20000/19683 | | 128/125, 20000/19683 | ||
| | | {{mapping| 27 43 63 }} | ||
| −3.88 | | −3.88 | ||
| 2.74 | | 2.74 | ||
Line 628: | Line 628: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 64/63, 126/125, 245/243 | | 64/63, 126/125, 245/243 | ||
| | | {{mapping| 27 43 63 76 }} | ||
| −3.70 | | −3.70 | ||
| 2.39 | | 2.39 | ||
Line 635: | Line 635: | ||
| 2.3.5.7.13 | | 2.3.5.7.13 | ||
| 64/63, 91/90, 126/125, 169/168 | | 64/63, 91/90, 126/125, 169/168 | ||
| | | {{mapping| 27 43 63 76 100 }} | ||
| −3.18 | | −3.18 | ||
| 2.39 | | 2.39 | ||
Line 642: | Line 642: | ||
| 2.3.5.7.13.19 | | 2.3.5.7.13.19 | ||
| 64/63, 76/75, 91/90, 126/125, 169/168 | | 64/63, 76/75, 91/90, 126/125, 169/168 | ||
| | | {{mapping| 27 43 63 76 100 115 }} | ||
| −3.18 | | −3.18 | ||
| 2.18 | | 2.18 | ||
Line 656: | Line 656: | ||
{| class="wikitable center-all left-3 left-4" | {| class="wikitable center-all left-3 left-4" | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator | ! Generator | ||
! Temperaments | ! Temperaments | ||
! | ! Mos scales | ||
|- | |- | ||
| 1 | | 1 | ||
Line 678: | Line 678: | ||
| 1 | | 1 | ||
| 5\27 | | 5\27 | ||
| [[Machine]] (27)<br | | [[Machine]] (27)<br>[[Kumonga]] (27e) | ||
| [[1L 4s]], [[5L 1s]], [[5L 6s]], [[11L 5s]] | | [[1L 4s]], [[5L 1s]], [[5L 6s]], [[11L 5s]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 7\27 | | 7\27 | ||
| [[Myna]] (27e) / coleto (27e) / myno (27)<br | | [[Myna]] (27e) / coleto (27e) / myno (27)<br>[[Oolong]] (27e) | ||
| [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]] | | [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]] | ||
|- | |- | ||
Line 718: | Line 718: | ||
| 3 | | 3 | ||
| 4\27 | | 4\27 | ||
| [[Oodako]] (27e)<br | | [[Oodako]] (27e)<br>[[Terrain]] | ||
| [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15s]] | | [[3L 3s]], [[6L 3s]], [[6L 9s]], [[6L 15s]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 1\27 | | 1\27 | ||
| [[Niner]] (27e)<br | | [[Niner]] (27e)<br>[[Ennealimmal]] (out of tune) | ||
| [[9L 9s]] | | [[9L 9s]] | ||
|} | |} | ||
Line 732: | Line 732: | ||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
! [[Harmonic | ! [[Harmonic limit|Prime<br>limit]] | ||
! [[Ratio]]<ref group="note">{{rd}}</ref> | ! [[Ratio]]<ref group="note">{{rd}}</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! [[Color name | ! [[Color name]] | ||
! Name | ! Name | ||
|- | |- | ||
Line 856: | Line 856: | ||
| 31.77 | | 31.77 | ||
| Loyo | | Loyo | ||
| | | Telepathma, undecimal diasecundal comma | ||
|- | |- | ||
| 11 | | 11 | ||
Line 947: | Line 947: | ||
| 18.13 | | 18.13 | ||
| Nugu | | Nugu | ||
| 19th | | 19th-partial chroma | ||
|} | |} | ||