152edo: Difference between revisions
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It provides the [[optimal patent val]] for the 11-limit [[Mirkwai clan #Grendel|grendel]] and [[Mirkwai clan #Kwai|kwai]] linear temperaments, the 13-limit rank two temperament [[Ragismic microtemperaments #Octoid-Octopus|octopus]], the 11-limit planar temperament [[Hemifamity family #Laka|laka]], and the rank five temperament tempering out 169/168. | It provides the [[optimal patent val]] for the 11-limit [[Mirkwai clan #Grendel|grendel]] and [[Mirkwai clan #Kwai|kwai]] linear temperaments, the 13-limit rank two temperament [[Ragismic microtemperaments #Octoid-Octopus|octopus]], the 11-limit planar temperament [[Hemifamity family #Laka|laka]], and the rank five temperament tempering out 169/168. | ||
[[Paul Erlich]] has suggested that 152edo could be considered a sort of [ | [[Paul Erlich]] has suggested that 152edo could be considered a sort of [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3038.html#3041 universal tuning]. | ||
152 = 8 × 19, with divisors 2, 4, 8, 19, 38, 76. | 152 = 8 × 19, with divisors 2, 4, 8, 19, 38, 76. | ||
Revision as of 18:22, 12 July 2021
The 152 equal division divides the octave into 152 equally sized parts of 7.895 cents each.
152et is a strong 11-limit system, with the 3, 5, 7, and 11 slightly sharp. It tempers out 1600000/1594323, the amity comma, in the 5-limit; 4375/4374, 5120/5103, 6144/6125 and 16875/16807 in the 7-limit; 540/539, 1375/1372, 4000/3993, 5632/5625 and 9801/9800 in the 11-limit.
It has two reasonable mappings for 13, with the 152f val scoring much better. The patent val tempers out 169/168, 325/324, 351/350, 364/363, 1001/1000, and 4096/4095. The 152f val tempers out 352/351, 625/624, 640/637, 729/728, 847/845, 1575/1573, 1716/1715 and 2080/2079.
It provides the optimal patent val for the 11-limit grendel and kwai linear temperaments, the 13-limit rank two temperament octopus, the 11-limit planar temperament laka, and the rank five temperament tempering out 169/168.
Paul Erlich has suggested that 152edo could be considered a sort of universal tuning.
152 = 8 × 19, with divisors 2, 4, 8, 19, 38, 76.