379edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== 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 | ! rowspan="2" | [[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]] (¢) | ||
| Line 25: | Line 26: | ||
| {{monzo| 601 -379 }} | | {{monzo| 601 -379 }} | ||
| {{mapping| 379 601 }} | | {{mapping| 379 601 }} | ||
| | | −0.2989 | ||
| 0.2988 | | 0.2988 | ||
| 9.43 | | 9.43 | ||
| Line 32: | Line 33: | ||
| {{monzo| 35 -25 2 }}, {{monzo| 38 -2 -15 }} | | {{monzo| 35 -25 2 }}, {{monzo| 38 -2 -15 }} | ||
| {{mapping| 379 601 880 }} | | {{mapping| 379 601 880 }} | ||
| | | −0.1944 | ||
| 0.2852 | | 0.2852 | ||
| 9.01 | | 9.01 | ||
| Line 39: | Line 40: | ||
| 5120/5103, 2401/2400, {{monzo| -23 -11 15 2 }} | | 5120/5103, 2401/2400, {{monzo| -23 -11 15 2 }} | ||
| {{mapping| 379 601 880 1064 }} | | {{mapping| 379 601 880 1064 }} | ||
| | | −0.1493 | ||
| 0.2591 | | 0.2591 | ||
| 8.18 | | 8.18 | ||
| Line 46: | Line 47: | ||
| 2401/2400, 5120/5103, 5632/5625, 14641/14580 | | 2401/2400, 5120/5103, 5632/5625, 14641/14580 | ||
| {{mapping| 379 601 880 1064 1311 }} | | {{mapping| 379 601 880 1064 1311 }} | ||
| | | −0.0967 | ||
| 0.2545 | | 0.2545 | ||
| 8.04 | | 8.04 | ||
| Line 53: | Line 54: | ||
| 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655 | | 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655 | ||
| {{mapping| 379 601 880 1064 1311 1402 }} (379) | | {{mapping| 379 601 880 1064 1311 1402 }} (379) | ||
| | | −0.014 | ||
| 0.2969 | | 0.2969 | ||
| 9.38 | | 9.38 | ||
| Line 60: | Line 61: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 97: | Line 99: | ||
| [[Langwidge]] | | [[Langwidge]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | |||
== Scales == | == Scales == | ||