294edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[ | The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. | ||
In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna_family|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament|valentine temperament]]. | |||
294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147. | 294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147. | ||
{{Harmonics in equal|294}} | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||