157edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Edt|Division of the third harmonic]] into 157 equal parts''' (157EDT) is related to [[99edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.6781 cents compressed and the step size is about 12.1144 cents. It is consistent to the [[11-odd-limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the [[9-odd-limit|10-integer-limit]]. 157edt is notable for it's excellent 5/3, as a convergent to log<sub>3</sub>(5), and can be used effectively both with and without twos. | '''[[Edt|Division of the third harmonic]] into 157 equal parts''' (157EDT) is related to [[99edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 0.6781 cents compressed and the step size is about 12.1144 cents. It is consistent to the [[11-odd-limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the [[9-odd-limit|10-integer-limit]]. 157edt is notable for it's excellent 5/3, as a convergent to log<sub>3</sub>(5), and can be used effectively both with and without twos. | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 157 | |||
| num = 3 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 157 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== See also == | == See also == | ||