Cloudy comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 16807/16384 | | Ratio = 16807/16384 | ||
| Name = cloudy comma | | Name = cloudy comma | ||
| Color name = | | Color name = Lz<sup>5</sup>3, Laquinzo comma | ||
| Comma = yes | |||
| | |||
}} | }} | ||
'''16807/16384''', the '''cloudy comma''', is a 7-limit medium comma. It is the amount by which five [[8/7]]s fall short of one octave and exceeds [[128/125]] by [[ | '''16807/16384''', the '''cloudy comma''', is a 7-limit medium comma. It is the amount by which five [[8/7]]s fall short of one octave and exceeds [[128/125]] by the [[rainy comma]]. For equal divisions ''N'' up to 65, the comma is tempered out if and only if 5 divides ''N''. Examples are [[5edo]], [[10edo]], [[15edo]], [[50edo]], [[55edo]] and [[65edo]]. | ||
== Temperaments == | == Temperaments == | ||
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=== Cloudy (10&15&50) === | === Cloudy (10&15&50) === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[POTE generator]]s: ~3/2 = 699.467, ~5/4 = 382.669 | [[POTE generator]]s: ~3/2 = 699.467, ~5/4 = 382.669 | ||
{{ | {{Optimal ET sequence|legend=1| 5, 10, 15, 25, 35, 45, 50, 55, 60, 65 }} | ||
=== 11-limit cloudy (10&15&50) === | === 11-limit cloudy (10&15&50) === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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POTE generators: ~3/2 = 699.779, ~5/4 = 386.575 | POTE generators: ~3/2 = 699.779, ~5/4 = 386.575 | ||
{{ | {{Optimal ET sequence|legend=1| 5, 10, 15, 35, 40, 50, 55, 60, 65 }} | ||
=== 13-limit cloudy (10&15&50) === | === 13-limit cloudy (10&15&50) === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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POTE generators: ~3/2 = 698.726, ~5/4 = 384.760 | POTE generators: ~3/2 = 698.726, ~5/4 = 384.760 | ||
{{ | {{Optimal ET sequence|legend=1| 5, 10, 15, 40, 50, 60, 65 }} | ||
[[Category:Cloudy]] | [[Category:Cloudy]] | ||
[[Category:Commas named for their regular temperament properties]] | |||