42edt: Difference between revisions
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{{Infobox ET}} | |||
'''42EDT''' is the [[Edt|equal division of the third harmonic]] into 42 parts of 45.2846 [[cent|cents]] each, corresponding to 26.4990 [[edo]]. It is [[contorted]] in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave. | '''42EDT''' is the [[Edt|equal division of the third harmonic]] into 42 parts of 45.2846 [[cent|cents]] each, corresponding to 26.4990 [[edo]]. It is [[contorted]] in the no-twos 17-limit, tempering out 77/75, 119/117, 147/143, 169/165, and 245/243. Using the patent val, it tempers out 363/361 in the 19-limit; 117/115, 119/115, 255/253, 299/297, and 391/375 in the 23-limit (no-twos subgroup). It entirely misses 2/1, but nails the "double octave" 4/1, so it strongly resembles the scale with generator 2\53 of an octave. | ||
Lookalikes: [[53ed4|53ED4]] | Lookalikes: [[53ed4|53ED4]] | ||
== Intervals == | |||
{{Interval table}} | |||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 42 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 42 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
{{stub}} | |||