26edo: Difference between revisions
m see also section for lumatone mapping |
Explained the good 7/4 |
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{{Odd harmonics in edo|edo=26}} | {{Odd harmonics in edo|edo=26}} | ||
In the [[7-limit]], it tempers out 50/49, 525/512 and 875/864, and [[support]]s [[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 [[support]]s [[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]]), as it is the denominator of a convergent to log<sub>2</sub>7. | ||
26edo's "minor sixth" (1.6158) is very close to φ ≈ 1.6180 (i. e., the golden ratio). | 26edo's "minor sixth" (1.6158) is very close to φ ≈ 1.6180 (i. e., the golden ratio). | ||