639edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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! 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 error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 24: | Line 24: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 1013 -639 }} | ||
| {{ | | {{Mapping| 639 1013 }} | ||
| −0.1238 | | −0.1238 | ||
| 0.1238 | | 0.1238 | ||
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|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| 1 -27 18 }}, {{monzo| 55 -1 -23 }} | ||
| {{ | | {{Mapping| 639 1013 1484 }} | ||
| −0.1601 | | −0.1601 | ||
| 0.1134 | | 0.1134 | ||
| Line 39: | Line 39: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 4375/4374, {{monzo| 58 -14 -13 -2 }} | | 2401/2400, 4375/4374, {{monzo| 58 -14 -13 -2 }} | ||
| {{ | | {{Mapping| 639 1013 1484 1794 }} | ||
| −0.1369 | | −0.1369 | ||
| 0.1062 | | 0.1062 | ||
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| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 2401/2400, 4375/4374, 5632/5625, 161280/161051 | | 2401/2400, 4375/4374, 5632/5625, 161280/161051 | ||
| {{ | | {{Mapping| 639 1013 1484 1794 2211 }} | ||
| −0.1554 | | −0.1554 | ||
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| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 2080/2079, 2401/2400, 4375/4374, 5632/5625, 20480/20449 | | 2080/2079, 2401/2400, 4375/4374, 5632/5625, 20480/20449 | ||
| {{ | | {{Mapping| 639 1013 1484 1794 2211 2365 }} | ||
| −0.1650 | | −0.1650 | ||
| 0.0955 | | 0.0955 | ||
| Line 60: | Line 60: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 1156/1155, 2058/2057, 2080/2079, 2401/2400, 4375/4374, 5632/5625 | | 1156/1155, 2058/2057, 2080/2079, 2401/2400, 4375/4374, 5632/5625 | ||
| {{ | | {{Mapping| 639 1013 1484 1794 2211 2365 2612 }} | ||
| −0.1487 | | −0.1487 | ||
| 0.0970 | | 0.0970 | ||
| Line 67: | Line 67: | ||
| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 1156/1155, 1216/1215, 1445/1444, 2058/2057, 2080/2079, 2376/2375, 2401/2400 | | 1156/1155, 1216/1215, 1445/1444, 2058/2057, 2080/2079, 2376/2375, 2401/2400 | ||
| {{ | | {{Mapping| 639 1013 1484 1794 2211 2365 2612, 2715 }} (639h) | ||
| −0.1618 | | −0.1618 | ||
| 0.0971 | | 0.0971 | ||
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 96: | Line 96: | ||
|- | |- | ||
| 9 | | 9 | ||
| 168\639<br | | 168\639<br>(26\639) | ||
| 315.49<br | | 315.49<br>(48.83) | ||
| 6/5<br | | 6/5<br>(36/35) | ||
| [[Ennealimmal]] / | | [[Ennealimmal]] / enneabiotic | ||
|} | |} | ||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||