193edo: Difference between revisions
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=<span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;">193 tone equal temperament</span>= | =<span style="color: #003838; font-family: 'Times New Roman',Times,serif; font-size: 113%;">193 tone equal temperament</span>= | ||
The '' | The '''193EDO''' divides the octave into 193 equal parts of 6.21762 cents each. It provides the [[Optimal_patent_val|optimal patent val]] for [[Kleismic_family#Sqrtphi|sqrtphi temperament]] in the 13-, 17- and 19- limits, and for 13-limit [[Swetismic_temperaments#Minos|minos]] and [[Mirkwai_family#Indra|vish]] temperaments. | ||
Approximation of the intervals: | Approximation of the intervals: | ||
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193edo is the 44th [[prime_numbers|prime]] EDO. | 193edo is the 44th [[prime_numbers|prime]] EDO. | ||
[[Category:sqrtphi]] | [[Category:sqrtphi]] | ||
[[Category:Edo]] | |||
[[Category:Prime EDO]] | |||
Revision as of 03:10, 11 March 2019
193 tone equal temperament
The 193EDO divides the octave into 193 equal parts of 6.21762 cents each. It provides the optimal patent val for sqrtphi temperament in the 13-, 17- and 19- limits, and for 13-limit minos and vish temperaments.
Approximation of the intervals:
Square root of Pi: 159\193 (988.60104 cents), and
Phi: 134\193 (833.16062 cents), both inside in the superdiatonic scale: 25 25 25 9 25 25 25 25 9
193edo is the 44th prime EDO.