400edo: Difference between revisions
+RTT table and rank-2 temperaments |
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|2/1 exact | |2/1 exact | ||
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== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3.5 | |||
| {{monzo| -7 22 -12 }}, {{monzo| 47 -15 -10 }} | |||
| [{{val| 400 634 929 }}] | |||
| -0.1080 | |||
| 0.1331 | |||
| 4.44 | |||
|- | |||
| 2.3.5.7 | |||
| 2401/2400, 1959552/1953125, 14348907/14336000 | |||
| [{{val| 400 634 929 1123 }}] | |||
| -0.0965 | |||
| 0.1170 | |||
| 3.90 | |||
|- | |||
| 2.3.5.7.11 | |||
| 2401/2400, 5632/5625, 9801/9800, 46656/46585 | |||
| [{{val| 400 634 929 1123 1384 }}] | |||
| -0.1166 | |||
| 0.1121 | |||
| 3.74 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 676/675, 1001/1000, 1716/1715, 4096/4095, 39366/39325 | |||
| [{{val| 400 634 929 1123 1384 1480 }}] | |||
| -0.0734 | |||
| 0.1407 | |||
| 4.69 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 676/675, 936/935, 1001/1000, 1156/1155, 1716/1715, 4096/4095 | |||
| [{{val| 400 634 929 1123 1384 1480 1635 }}] | |||
| -0.0645 | |||
| 0.1321 | |||
| 4.40 | |||
|- | |||
| 2.3.5.7.11.13.17.19 | |||
| 676/675, 936/935, 969/968, 1001/1000, 1156/1155, 1216/1215, 1716/1715 | |||
| [{{val| 400 634 929 1123 1384 1480 1635 1699 }}] | |||
| -0.0413 | |||
| 0.1380 | |||
| 4.60 | |||
|} | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per octave | |||
! Generator<br>(reduced) | |||
! Cents<br>(reduced) | |||
! Associated<br>ratio | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 83\270 | |||
| 249.00 | |||
| {{monzo| -26 18 -1 }} | |||
| [[Monzismic]] | |||
|- | |||
| 1 | |||
| 101\400 | |||
| 303.00 | |||
| 25/21 | |||
| [[Quinmite]] | |||
|- | |||
| 1 | |||
| 153\400 | |||
| 459.00 | |||
| 125/96 | |||
| [[Majvam]] | |||
|- | |||
| 2 | |||
| 61\400 | |||
| 183.00 | |||
| 10/9 | |||
| [[Unidecmic]] | |||
|- | |||
| 5 | |||
| 123\400<br>(37\400) | |||
| 369.00<br>(111.00) | |||
| 10125/8192<br>(16/15) | |||
| [[Qintosec]] (5-limit) | |||
|- | |||
| 10 | |||
| 83\400<br>(3\400) | |||
| 249.00<br>(9.00) | |||
| 15/13<br>(176/175) | |||
| [[Decoid]] | |||
|} | |} | ||
| Line 89: | Line 189: | ||
* [[Huntington10]] | * [[Huntington10]] | ||
* [[Huntington17]] | * [[Huntington17]] | ||
* LeapWeek[71] | * LeapWeek[71]{{clarify}} | ||
* LeapDay[97] | * LeapDay[97]{{clarify}} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||