320edo: Difference between revisions
→Rank-2 temperaments: new mercury notated |
Improve intro and +divisors |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|320}} | |||
== Theory == | == Theory == | ||
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|320|intervals=prime|columns=11}} | {{Harmonics in equal|320|intervals=prime|columns=11}} | ||
=== Divisors === | |||
Since 320 factors into 2<sup>6</sup> × 5, 320edo has subset edos {{EDOs| 2, 4, 5, 10, 16, 20, 32, 40, 64, 80, and 160 }}. | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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! rowspan="2" | [[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning Error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
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{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per | ! Periods<br>per 8ve | ||
! Generator<br>(Reduced) | ! Generator<br>(Reduced) | ||
! Cents<br>(Reduced) | ! Cents<br>(Reduced) | ||
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| [[Untriton]] (5-limit) | | [[Untriton]] (5-limit) | ||
|- | |- | ||
|1 | | 1 | ||
|93\320 | | 93\320 | ||
|348.75 | | 348.75 | ||
|6144/3757 | | 6144/3757 | ||
|[[Hectosaros leap week]] | | [[Hectosaros leap week]] | ||
|- | |- | ||
| 2 | | 2 | ||
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| [[Decal]] | | [[Decal]] | ||
|- | |- | ||
|80 | | 80 | ||
|99\320<br>(3\320) | | 99\320<br>(3\320) | ||
|371.25<br>(11.25) | | 371.25<br>(11.25) | ||
|2275/1836<br>(?) | | 2275/1836<br>(?) | ||
|[[Mercury]] | | [[Mercury]] | ||
|- | |- | ||
| 80 | | 80 | ||
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|} | |} | ||
[[Category:Varuna]] | [[Category:Varuna]] | ||
[[Category:Werckismic]] | [[Category:Werckismic]] | ||