Subgroup temperaments: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
m Moved meanquadi from fractional to composite subheading
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[[Support]]ing [[ET]]s: {{EDs|5, 10, 15, 20, 25, 30, 35, 40|equave=4}}
[[Support]]ing [[ET]]s: {{EDs|5, 10, 15, 20, 25, 30, 35, 40|equave=4}}
== 4.6.5 subgroup ==
=== Meanquadi ===
{{Main| Meanquad }}
[[Subgroup]]: 4.6.5
[[Comma list]]: [[81/80]] = {{monzo| -4 4 -1 }}
{{Mapping|legend=2| 1 0 -4| 0 1 4 }}
: mapping generators: ~4, ~6
[[Optimal tuning]] (subgroup [[CTE]]): ~4 = 2\1, ~3/2 = 697.214
[[Support]]ing [[ET]]s: *7, *10, *11[-5], *13[+5], *17, *24, *27[+5], *31, *38, *41, *45, *52, *55, *69
<nowiki>*</nowiki> wart for 4
==== 4.6.5.7 subgroup (tetrominant) ====
[[Subgroup]]: 4.6.5.7
[[Comma list]]: [[36/35]] = {{monzo| 0 2 -1 -1 }}, [[64/63]] = {{monzo| 4 -2 0 -1 }}
{{Mapping|legend=2| 1 0 -4 4 | 0 1 4 -2 }}
[[Optimal tuning]] (subgroup [[CTE]]): ~4 = 2\1, ~3/2 = 699.622
[[Support]]ing [[ET]]s: *7, *10, *17, *24, *27[+5], *31, *38[+7], *41, *44[+5], *55[+7], *58[+5, +7], *65[+5, +7], *75[+5, +7]
<nowiki>*</nowiki> wart for 4


== 4.9.25 subgroup ==
== 4.9.25 subgroup ==
Line 761: Line 793:
<nowiki>*</nowiki> wart for 3/2
<nowiki>*</nowiki> wart for 3/2


=== Meanquadi ===
{{Main| Meanquad }}
[[Subgroup]]: 4.6.5
[[Comma list]]: [[81/80]] = {{monzo| -4 4 -1 }}
{{Mapping|legend=2| 1 0 -4| 0 1 4 }}
: mapping generators: ~4, ~6
[[Optimal tuning]] (subgroup [[CTE]]): ~4 = 2\1, ~3/2 = 697.214
[[Support]]ing [[ET]]s: *7, *10, *11[-5], *13[+5], *17, *24, *27[+5], *31, *38, *41, *45, *52, *55, *69
<nowiki>*</nowiki> wart for 4
==== 4.6.5.7 subgroup (tetrominant) ====
[[Subgroup]]: 4.6.5.7
[[Comma list]]: [[36/35]] = {{monzo| 0 2 -1 -1 }}, [[64/63]] = {{monzo| 4 -2 0 -1 }}
{{Mapping|legend=2| 1 0 -4 4 | 0 1 4 -2 }}
[[Optimal tuning]] (subgroup [[CTE]]): ~4 = 2\1, ~3/2 = 699.622
[[Support]]ing [[ET]]s: *7, *10, *17, *24, *27[+5], *31, *38[+7], *41, *44[+5], *55[+7], *58[+5, +7], *65[+5, +7], *75[+5, +7]
<nowiki>*</nowiki> wart for 4


=== Poggers ===
=== Poggers ===