152edo: Difference between revisions
→Regular temperament properties: +unlit and twilight |
Precision, +commas, update template |
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| Step size = 7.89474¢ | | Step size = 7.89474¢ | ||
| Fifth = 89\152 (702.63¢) | | Fifth = 89\152 (702.63¢) | ||
| Major 2nd = 26\152 ( | | Major 2nd = 26\152 (205.26¢) | ||
| Semitones = 15:11 ( | | Semitones = 15:11 (118.42¢ : 86.84¢) | ||
| Consistency = 11 | | Consistency = 11 | ||
}} | }} | ||
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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. | 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 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]], [[1573/1568]], and [[4096/4095]]. The 152f val tempers out [[352/351]], [[625/624]], [[640/637]], [[729/728]], [[847/845]], [[1188/1183]], [[1575/1573]], [[1716/1715]] and [[2080/2079]]. | ||
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. | ||
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=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|152|columns=11}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||