262144/253125: Difference between revisions
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CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) Did I really rediscover an existing temperament, this is logged as "passion" |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = passion comma | ||
| Color name = saquingu 3rd, sg<sup>5</sup>3 | | Color name = saquingu 3rd, sg<sup>5</sup>3 | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''262144/253125''', the | '''262144/253125''', the passion comma, is a 5-limit comma measuring about 60.6 cents. It is the amount by which five [[16/15]] exceed [[4/3]]. Tempering out this comma in the 5-limit results in the '''passion temperament''', which generates a quasidozenal ([[12L 1s]]) MOS, essentially a compressed 12edo scale if you ignore the octave. In addition to [[12edo]] itself, passion is less accurately supported by several small EDOs of the form 12n+1 such as [[25edo]], [[37edo]], and [[49edo]] (all containing superpyth/archy-style fifths). | ||
Revision as of 07:29, 2 August 2023
| Interval information |
reduced subharmonic
262144/253125, the passion comma, is a 5-limit comma measuring about 60.6 cents. It is the amount by which five 16/15 exceed 4/3. Tempering out this comma in the 5-limit results in the passion temperament, which generates a quasidozenal (12L 1s) MOS, essentially a compressed 12edo scale if you ignore the octave. In addition to 12edo itself, passion is less accurately supported by several small EDOs of the form 12n+1 such as 25edo, 37edo, and 49edo (all containing superpyth/archy-style fifths).