No-sevens subgroup temperaments: Difference between revisions
Tags: Mobile edit Mobile web edit |
No edit summary |
||
| Line 195: | Line 195: | ||
=== Tricot === | === Tricot === | ||
{{Main|Tricot family #2.3.5.13 subgroup }} | {{Main| Tricot family #2.3.5.13 subgroup }} | ||
=== Taylor === | === Taylor === | ||
| Line 281: | Line 281: | ||
=== Stützel === | === Stützel === | ||
{{Main| Meantone family #Stützel (2.3.5.19) }} | {{Main| Meantone family #Stützel (2.3.5.19) }} | ||
== Higher-limit subgroup temperaments == | |||
=== Reversed marvel === | |||
As the [[Marvel|marvel temperament]] is based on the marvel comma, [[225/224]], identifying the [[7/4|harmonic seventh (7/4)]] as a stack of two [[15/8|classical major sevenths (15/8)]] [[Octave reduction|octave-reduced]] and tempering 3rd and 5th harmonics slightly flat, tempering [[226/225]] instead results in sharper 3rd and 5th harmonics, and a stack of two classical major sevenths equivalent to the 113th harmonic instead of the 7th, so it might as well be called reversed marvel. | |||
Subgroup: 2.3.5.113 | |||
[[Comma list]]: 226/225 | |||
{{Mapping|legend=2|1 0 0 -1|0 1 0 2|0 0 1 2}} | |||
: Sval mapping generators: ~2, ~3, ~5 | |||
[[Optimal tuning]]s: | |||
* CTE: ~3/2 = 702.449, ~5/4 = 387.373 | |||
* CWE: ~3/2 = 702.522, ~5/4 = 387.479 | |||
{{Optimal ET sequence|legend=1| 12, 22, 31, 34, 46, 53 }} | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||