Cloudy comma: Difference between revisions

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{{Infobox Interval

| Ratio = 16807/16384

~~| Monzo = -14 0 0 5~~

~~| Cents = 44.12953~~

| Name = cloudy comma

| Color name =

| Color name = Lz<sup>5</sup>3, Laquinzo comma

~~| FJS name = d3~~<sup>~~7,7,7,7,7~~</sup>

| Comma = yes

| ~~Sound~~ =

}}

'''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:7-limit]]~~

~~[[Category:Medium commas]]~~

[[Category:Cloudy]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 16807/16384
-| Monzo = -14 0 0 5
-| Cents = 44.12953
 | Name = cloudy comma
-| Color name =
+| Color name = Lz<sup>5</sup>3, Laquinzo comma
-| FJS name = d3<sup>7,7,7,7,7</sup>
+| Comma = yes
-| Sound =
 }}
-'''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 27: / 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 38: / 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 49: / 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:7-limit]]
-[[Category:Medium commas]]
 [[Category:Cloudy]]
+[[Category:Commas named for their regular temperament properties]]