Cloudy comma: Difference between revisions

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'''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 [[~~2100875/2097152~~]]. 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]].

'''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 ==

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[[POTE generator]]s: ~3/2 = 699.467, ~5/4 = 382.669

{{~~Val list~~|legend=1| 5, 10, 15, 25, 35, 45, 50, 55, 60, 65 }}

{{Optimal ET sequence|legend=1| 5, 10, 15, 25, 35, 45, 50, 55, 60, 65 }}

=== 11-limit cloudy (10&15&50) ===

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POTE generators: ~3/2 = 699.779, ~5/4 = 386.575

~~Vals:~~ {{~~Val list~~| 5, 10, 15, 35, 40, 50, 55, 60, 65 }}

{{Optimal ET sequence|legend=1| 5, 10, 15, 35, 40, 50, 55, 60, 65 }}

=== 13-limit cloudy (10&15&50) ===

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POTE generators: ~3/2 = 698.726, ~5/4 = 384.760

~~Vals:~~ {{~~Val list~~| 5, 10, 15, 40, 50, 60, 65 }}

[[Category:Cloudy]]

[[Category:Commas named for their regular temperament properties]]

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 }}
-'''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 [[2100875/2097152]]. 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]].
+'''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 ==
@@ Line 24: / Line 24: @@
 [[POTE generator]]s: ~3/2 = 699.467, ~5/4 = 382.669
-{{Val list|legend=1| 5, 10, 15, 25, 35, 45, 50, 55, 60, 65 }}
+{{Optimal ET sequence|legend=1| 5, 10, 15, 25, 35, 45, 50, 55, 60, 65 }}
 === 11-limit cloudy (10&amp;15&amp;50) ===
@@ Line 35: / Line 35: @@
 POTE generators: ~3/2 = 699.779, ~5/4 = 386.575
-Vals: {{Val list| 5, 10, 15, 35, 40, 50, 55, 60, 65 }}
+{{Optimal ET sequence|legend=1| 5, 10, 15, 35, 40, 50, 55, 60, 65 }}
 === 13-limit cloudy (10&amp;15&amp;50) ===
@@ Line 46: / Line 46: @@
 POTE generators: ~3/2 = 698.726, ~5/4 = 384.760
-Vals: {{Val list| 5, 10, 15, 40, 50, 60, 65 }}
+{{Optimal ET sequence|legend=1| 5, 10, 15, 40, 50, 60, 65 }}
 [[Category:Cloudy]]
+[[Category:Commas named for their regular temperament properties]]