Bird's eye view of temperaments by accuracy: Difference between revisions

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m Garibaldi: just noticed tetracot is conceived fairly naturally by this explanation
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m Gary: sort odds
 
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* 82: see [[#Gary]]
* 82: see [[#Gary]]
* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25
* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25}


Generator tunings: (55\94, 1\2), (79\176, 1\2), (158\270, 1\2)
Generator tunings: (55\94, 1\2), (79\176, 1\2), (158\270, 1\2)
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Note counts:  
Note counts:  


* 41 for {3, 9, 7, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])
* 41 for {3, 7, 9, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])


Generator tunings: 24\41, 55\94, 79\135, 498\851
Generator tunings: 24\41, 55\94, 79\135, 498\851
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* the most accurate is [[#Sendai]] which finds primes 23 and 29
* the most accurate is [[#Sendai]] which finds primes 23 and 29
* the second most accurate is [[#Sensible]], which finds primes 11, 17 and 23
* the second most accurate is [[#Sensible]], which finds primes 11, 17 and 23
* the simplest but least accurate is [[#Sensor]] (commonly just called "sensi"), which interprets it as a full 17-limit temperament.
* the simplest but least accurate is [[Sensipent family#Sensor|Sensor]] (commonly just called "sensi"), which interprets it as a full 17-limit temperament, for which the best tuning is [[46edo]].


==== [[Würschmidt]] ====
==== [[Würschmidt]] ====