26edo: Difference between revisions

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{{Infobox ET

| Prime factorization = 2 * 13

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| Important MOSes = diatonic ([[flattone]]) 5*4-2*3 (15\26, 1\1)<br/>[[orgone]] 4*5-3*2 (7\26, 1\1)<br/>[[lemba]] 4*5-2*3 (5\26, 1\2)

}}

'''26edo''' divides the [[octave]] into 26 equal parts of 46.154 [[Cent|cents]] each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth.

== Theory ==

~~<b>26edo</b> divides the [[octave]] into 26 equal parts of 46.154 [[Cent|cents]] each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth.~~ In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[injera]], [[flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4]]).

In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[injera]], [[flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4]]).

26edo's "minor sixth" (1.6158) is very close to φ ≈ 1.6180 (i. e., the golden ratio).

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 {{Infobox ET
 | Prime factorization = 2 * 13
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 | Important MOSes = diatonic ([[flattone]]) 5*4-2*3 (15\26, 1\1)<br/>[[orgone]] 4*5-3*2 (7\26, 1\1)<br/>[[lemba]] 4*5-2*3 (5\26, 1\2)
 }}
+'''26edo''' divides the [[octave]] into 26 equal parts of 46.154 [[Cent|cents]] each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth.
 == Theory ==
-<b>26edo</b> divides the [[octave]] into 26 equal parts of 46.154 [[Cent|cents]] each. It tempers out 81/80 in the [[5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[injera]], [[flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4]]).
+In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[injera]], [[flattone]], [[Jubilismic clan#Lemba|lemba]] and [[Jubilismic clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4]]).
 edo's "minor sixth" (1.6158) is very close to φ ≈ 1.6180 (i. e., the golden ratio).