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7L 3s (4/1-equivalent): Difference between revisions

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== Scale properties ==
== Scale properties ==
{{TAMNAMS use}}
{{TAMNAMS use}}
{{MOS data}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}


== Scale tree ==
== Scale tree ==
{{MOS tuning spectrum
{{MOS tuning spectrum
| 5/3 = Quarchy is around here
| 5/3 = [[Quarchy]] is around here
| 3/1 = Tetrominant is around here
| 3/1 = [[Tetrominant]] is around here
| 4/1 = Meanquad is around here
| 4/1 = [[Meanquad]] is around here
}}
}}


== Temperaments ==
== Temperaments ==
There are two major rank-2 temperament interpretations of diaquadic, corresponding to double octave clones of [[meantone]] and [[archy]].
There are two major rank-2 temperament interpretations of diaquadic, [[meanquad]] and [[quarchy]], corresponding to double-octave clones of [[meantone]] and [[archy]].
 
=== Meanquad ===
''Main article: [[Meanquad]]''
* [[Subgroup]]: 4.5.6
* [[Comma list]]: [[81/80]]
* {{Mapping|legend=1|1 0 1|0 4 1}}
* [[Support]]ing ETs: 7, 31, 38, 24, 17, 10, 69, 45, 55, 11[-5], 52, 41, 13[+5], 27[+5]  
* [[CTE tuning]]: ~[[3/2]] = 697.214
 
==== Tetrominant ====
* [[Subgroup]]: 4.5.6.7
* [[Comma list]]: [[36/35]], [[64/63]]
* {{Mapping|legend=1|1 0 1 2|0 4 1 -2}}
* [[Support]]ing ETs: 7, 17, 24, 10, 31, 41, 27[+5], 38[+7], 55[+7], 58[+5, +7], 65[+5, +7], 44[+5], 75[+5, +7]
* [[CTE tuning]]: ~[[3/2]] = 699.622
 
=== Quarchy ===
* [[Subgroup]]: 4.6.7
* [[Comma list]]: [[64/63]]
* {{Mapping|legend=1|1 2 0|0 1 -2}}
* [[Support]]ing ETs: 10, 17, 7, 27, 37, 44, 13, 24, 47, 11[+7], 23, 57, 16, 41
* [[CTE tuning]]: ~[[3/2]] = 709.595
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