Luna and hemithirds: Difference between revisions

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'''~~Hemithirds temperament~~''' has a half of major third interval of [[5/4]] as a generator (hemithird, ~28/25, around 193.2 ~~cents~~). Aside from two generator represents ~5/4, five generator gives ~7/4 and fifteen gives ~16/3 (tempering out 1029/1024 and 3136/3125 in the 7-limit).

The '''hemithirds''' temperament has a half of major third interval of [[5/4]] as a generator (hemithird, ~28/25, around 193.2 [[cent]]s). Aside from two generator represents ~5/4, five generator gives ~7/4 and fifteen gives ~16/3 (tempering out 1029/1024 and 3136/3125 in the 7-limit).

See [[Hemimean clan #Hemithirds]] or [[Luna family #Hemithirds]] for more information.

== Chords ==

== Tuning spectrum ==

Gencom: [2 28/25; 196/195 352/351 385/384 625/624]

Gencom mapping: [{{val|1 4 2 2 7 0}}, {{val|0 -15 2 5 -22 23}}]

Gencom mapping: [{{val| 1 4 2 2 7 0 }}, {{val| 0 -15 2 5 -22 23 }}]

{| class="wikitable center-all"

{| class="wikitable center-all left-3"

|-

! [[~~eigenmonzo~~|~~eigenmonzo~~<br>(~~unchanged~~-interval]])

! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]

! ~~hemithird~~<br>(¢)

! Generator<br>(¢)

! ~~comments~~

! Comments

|-

| 14/13

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[[Category:Luna family]]

[[Category:Hemimean clan]]

[[Category:Gamelismic]]

[[Category:Gamelismic clan]]

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-'''Hemithirds temperament''' has a half of major third interval of [[5/4]] as a generator (hemithird, ~28/25, around 193.2 cents). Aside from two generator represents ~5/4, five generator gives ~7/4 and fifteen gives ~16/3 (tempering out 1029/1024 and 3136/3125 in the 7-limit).
+The '''hemithirds''' temperament has a half of major third interval of [[5/4]] as a generator (hemithird, ~28/25, around 193.2 [[cent]]s). Aside from two generator represents ~5/4, five generator gives ~7/4 and fifteen gives ~16/3 (tempering out 1029/1024 and 3136/3125 in the 7-limit).
 See [[Hemimean clan #Hemithirds]] or [[Luna family #Hemithirds]] for more information.
 == Chords ==
-{{main| Chords of hemithirds }}
+{{Main| Chords of hemithirds }}
 == Tuning spectrum ==
 Gencom: [2 28/25; 196/195 352/351 385/384 625/624]
-Gencom mapping: [{{val|1 4 2 2 7 0}}, {{val|0 -15 2 5 -22 23}}]
+Gencom mapping: [{{val| 1 4 2 2 7 0 }}, {{val| 0 -15 2 5 -22 23 }}]
-{| class="wikitable center-all"
+{| class="wikitable center-all left-3"
 |-
-! [[eigenmonzo|eigenmonzo<br>(unchanged-interval]])
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]
-! hemithird<br>(¢)
+! Generator<br>(¢)
-! comments
+! Comments
 |-
 | 14/13
@@ Line 114: / Line 114: @@
 [[Category:Luna family]]
 [[Category:Hemimean clan]]
-[[Category:Gamelismic]]
+[[Category:Gamelismic clan]]