26edo: Difference between revisions

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== Theory ==
== Theory ==
 
{{Odd harmonics in edo|edo=26}}
{| class="wikitable center-all"
|-
|+Approximation of [[prime interval]]s in 26 EDO
|-
! colspan="2" | Prime interval
! 2
! 3
! 5
! 7
! 11
! 13
! 17
! 19
! 23
|-
! rowspan="2" | Error
! absolute ([[cent|¢]])
| 0
| -9.6
| -17.1
| +0.4
| +2.5
| -9.8
| -12.6
| -20.6
| +17.9
|-
! [[Relative error|relative]] (%)
| 0
| -21
| -37
| +1
| +5
| -21
| -27
| -45
| +39
|-
! colspan="2" | [[nearest edomapping]]
| 26
| 15
| 8
| 21
| 12
| 18
| 2
| 6
| 14
|-
!
! [[fifthspan]]
| 0
| +1
| +4
| -9
| +6
| -4
| -12
| -10
| -6
|}


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]]).
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| -1.846¢
| -1.846¢
|}
|}
== Intervals ==
== Intervals ==