26edo: Difference between revisions

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* [[List of 26et rank two temperaments by badness]]
* [[List of 26et rank two temperaments by badness]]
* [[List of edo-distinct 26et rank two temperaments]]
* [[List of edo-distinct 26et rank two temperaments]]
Important MOSes include (in addition to ones found in [[13edo]]):


* diatonic ([[flattone]]) 4443443 (15\26, 1\1)
Important mos scales include (in addition to ones found in [[13edo]]):
* chromatic ([[flattone]]) 313131331313 (15\26, 1\1)
* [[Flattone]][7] (diatonic) 4443443 (15\26, 1\1)
* enharmonic ([[flattone]]) 2112112112121121121 (15\26, 1\1)
* [[Flattone]][12] (chromatic) 313131331313 (15\26, 1\1)
* [[orgone]] 5525252 (7\26, 1\1)
* [[Flattone]][19] (enharmonic) 2112112112121121121 (15\26, 1\1)
* [[orgone]] 32322322322 (7\26, 1\1)
* [[Orgone]][7] 5525252 (7\26, 1\1)
* [[orgone]] 212212221222122 (7\26, 1\1)
* [[Orgone]][11] 32322322322 (7\26, 1\1)
* [[lemba]] 553553 (5\26, 1\2)
* [[Orgone]][15] 212212221222122 (7\26, 1\1)
* [[lemba]] 3232332323 (5\26, 1\2)
* [[Lemba]][6] 553553 (5\26, 1\2)
* [[lemba]] 2122122121221221 (5\26, 1\2)
* [[Lemba]][10] 3232332323 (5\26, 1\2)
* [[Lemba]][16] 2122122121221221 (5\26, 1\2)


{| class="wikitable center-all left-3"
{| class="wikitable center-all left-3"
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=== Hendec in 26et ===
=== Hendec in 26et ===
[[Hendec]], the 13-limit 26&46 temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.
[[Hendec]], the 13-limit {{nowrap|26 & 46}} temperament with generator ~10/9, concentrates the intervals of greatest accuracy in 26et into the lower ranges of complexity. It has a period of half an octave, with 13/12 reachable by four generators, 8/7 by two, 14/11 by one, 10/9 by one, and 11/8 by three. All of these are tuned to within 2.5 cents of accuracy.


=== Commas ===
=== Commas ===
26et [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 26 41 60 73 90 96 }}.)
26et [[tempering out|tempers out]] the following [[commas]]. This assumes the [[val]] {{val| 26 41 60 73 90 96 }}.


{| class="commatable wikitable center-all left-3 right-4 left-6"
{| class="commatable wikitable center-all left-3 right-4 left-6"
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| 34.98
| 34.98
| Biruyo
| Biruyo
| Tritonic diesis, Jubilisma
| Jubilisma, tritonic diesis
|-
|-
| 7
| 7