385edo: Difference between revisions
Created page because the category already existed |
Doesn't support septimal pental so the limit must be specified |
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11-limit commas: 1073741824/1071794405, 161280/161051, 25165824/25109315, 234375/234256, 2097152/2096325, 1366875/1362944, 166698/166375, 496125/495616, 151263/151250, 104857600/104825259, [[540/539]], 172032/171875, 369140625/369098752, 825000/823543, 180224/180075, [[8019/8000]], 160083/160000, 539055/537824, 766656/765625, 202397184/201768035, 43923/43904, 20614528/20588575, 39135393/39062500, 781258401/781250000 | 11-limit commas: 1073741824/1071794405, 161280/161051, 25165824/25109315, 234375/234256, 2097152/2096325, 1366875/1362944, 166698/166375, 496125/495616, 151263/151250, 104857600/104825259, [[540/539]], 172032/171875, 369140625/369098752, 825000/823543, 180224/180075, [[8019/8000]], 160083/160000, 539055/537824, 766656/765625, 202397184/201768035, 43923/43904, 20614528/20588575, 39135393/39062500, 781258401/781250000 | ||
===Prime harmonics=== | === Prime harmonics === | ||
{{Harmonics in equal|385}} | {{Harmonics in equal|385}} | ||
===Subsets and supersets=== | === Subsets and supersets === | ||
385 factors into 5 x 7 x 11, with subset edos {{EDOs| 5, 7, 11, 35, 55, and 77}}. | 385 factors into 5 x 7 x 11, with subset edos {{EDOs| 5, 7, 11, 35, 55, and 77 }}. | ||
==Regular temperament properties== | == Regular temperament properties == | ||
{| 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|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3 | | 2.3 | ||
|{{monzo|-122 77}} | | {{monzo| -122 77 }} | ||
|{{val|385 610}} | | {{val| 385 610 }} | ||
| +0.2070 | | +0.2070 | ||
| 0.2071 | | 0.2071 | ||
| 6.64 | | 6.64 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|{{monzo|-28 25 -5}}, {{monzo|38 -2 -15}} | | {{monzo| -28 25 -5 }}, {{monzo| 38 -2 -15 }} | ||
|{{val|385 610 894}} | | {{val| 385 610 894 }} | ||
| +0.1122 | | +0.1122 | ||
| 0.2158 | | 0.2158 | ||
| 6.92 | | 6.92 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|19683/19600, 703125/702464 | | 19683/19600, 589824/588245, 703125/702464 | ||
|{{val|385 610 894 1081}} | | {{val| 385 610 894 1081 }} | ||
| +0.0374 | | +0.0374 | ||
| 0.2274 | | 0.2274 | ||
| 7.30 | | 7.30 | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|540/539, 8019/8000, 496125/495616, 172032/171875 | | 540/539, 8019/8000, 496125/495616, 172032/171875 | ||
|{{val|385 610 894 1081 1332}} | | {{val| 385 610 894 1081 1332 }} | ||
| +0.0085 | | +0.0085 | ||
| 0.2114 | | 0.2114 | ||
| 6.78 | | 6.78 | ||
|- | |- | ||
|2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
|540/539, 1716/1715, 8019/8000, 4096/4095, 81675/81536 | | 540/539, 1716/1715, 8019/8000, 4096/4095, 81675/81536 | ||
|{{val|385 610 894 1081 1332 1425}} | | {{val| 385 610 894 1081 1332 1425 }} | ||
| -0.0394 | | -0.0394 | ||
| 0.2207 | | 0.2207 | ||
| 7.08 | | 7.08 | ||
|- | |- | ||
|2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
|540/539, 936/935, 1377/1375, 1716/1715, 4096/4095, 13365/13328 | | 540/539, 936/935, 1377/1375, 1716/1715, 4096/4095, 13365/13328 | ||
|{{val|385 610 894 1081 1332 1425 1574}} | | {{val| 385 610 894 1081 1332 1425 1574 }} | ||
| -0.0693 | | -0.0693 | ||
| 0.2171 | | 0.2171 | ||
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|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator<br>( | ! Generator<br>(Reduced) | ||
! Cents<br>( | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
|1 | | 1 | ||
|62\385 | | 62\385 | ||
|193.247 | | 193.247 | ||
|4096/3645 | | 4096/3645 | ||
|[[Luna]] | | [[Luna]] | ||
|- | |- | ||
|1 | | 1 | ||
|162/385 | | 162/385 | ||
|504.935 | | 504.935 | ||
|4/3 | | 4/3 | ||
|[[Countermeantone]] | | [[Countermeantone]] | ||
|- | |- | ||
|5 | | 5 | ||
|160\385<br>(6\385) | | 160\385<br>(6\385) | ||
|498.701<br>(18.701) | | 498.701<br>(18.701) | ||
|4/3<br>(81/80) | | 4/3<br>(81/80) | ||
|[[Pental]] | | [[Pental]] (5-limit) | ||
|} | |} | ||
{{Todo| review }} |