Rastmic rank-3 clan: Difference between revisions
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=== 17-limit === | === 17-limit === | ||
Mirage is very naturally a 17-limit temperament, relating 13 and 17 by tempering out [[273/272]], [[715/714]], [[833/832]], and [[936/935]]. Instead of 13/8, the second generator can also be the small comma representing 105/104~120/119~144/143~154/153~189/187~196/195. (Tempering this comma out gives [[miraculous]].) | |||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
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Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
Comma list: 225/224, 243/242, 273/272, 385/384 | Comma list: 210/209, 225/224, 243/242, 273/272, 385/384 | ||
{{Todo|complete temperament data|inline=1}} | {{Todo|complete temperament data|inline=1}} | ||
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Subgroup: 2.3.5.7.11.13.17.19.23 | Subgroup: 2.3.5.7.11.13.17.19.23 | ||
Comma list: 225/224, 243/242, 273/272, 300/299, 385/384 | Comma list: 210/209, 225/224, 243/242, 273/272, 300/299, 385/384 | ||
{{Todo|complete temperament data|inline=1}} | {{Todo|complete temperament data|inline=1}} | ||
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Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
Comma list: 225/224, 243/242, 273/272, 324/323, 385/384 | |||
{{Todo|complete temperament data|inline=1}} | {{Todo|complete temperament data|inline=1}} | ||
=== | === Prism 23-limit === | ||
Subgroup: 2.3.5.7.11.13.17.19.23 | Subgroup: 2.3.5.7.11.13.17.19.23 | ||
Comma list: 225/224, 243/242, 273/272, 300/299, 324/323, 385/384 | |||
{{Todo|complete temperament data|inline=1}} | |||
=== No-19 23-limit === | |||
Subgroup: 2.3.5.7.11.13.17.23 | |||
Comma list: 225/224, 243/242, 273/272, 300/299, 385/384 | |||
{{Todo|complete temperament data|inline=1}} | {{Todo|complete temperament data|inline=1}} | ||