79edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Edt|Division of the third harmonic]] into 79 equal parts''' (79EDT) is related to [[50edo|50 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.7690 cents stretched and the step size is about 24.0754 cents. It is consistent to the [[9-odd-limit|10-integer-limit]]. | '''[[Edt|Division of the third harmonic]] into 79 equal parts''' (79EDT) is related to [[50edo|50 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.7690 cents stretched and the step size is about 24.0754 cents. It is consistent to the [[9-odd-limit|10-integer-limit]]. | ||
Additionally, it is an 18-strong [[consistent circle]] of the interval [[17/15]]. | |||
Lookalikes: [[50edo]], [[116ed5]], [[129ed6]], [[140ed7]], [[29edf]] | Lookalikes: [[50edo]], [[116ed5]], [[129ed6]], [[140ed7]], [[29edf]] | ||
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== Harmonics == | == Harmonics == | ||
{{Harmonics in equal | 79edt's representation of most primes is rather mediocre, however it has the property that many prime harmonics lie close to a quarter of the way or halfway between its steps, which is important in that [[316edt]], which quadruples it, is one of the strongest systems less than 1000 notes in the no-twos 19-limit, and among them has the best representation of primes beyond 19. | ||
| | {{Harmonics in equal|79|3|1|intervals = prime|columns = 9}} | ||
| | {{Harmonics in equal|79|3|1|start = 12|collapsed = 1|intervals = odd}} | ||
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{{Harmonics in equal | |||
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| start = 12 | |||
| collapsed = 1 | |||
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