1619edo: Difference between revisions
→Rank-2 temperaments: oviminor |
→Theory: added a fact about moulin |
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Another temperament which highlights the interval relationships in 1619edo is 45 & 1619, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6. | Another temperament which highlights the interval relationships in 1619edo is 45 & 1619, called ''decigrave'', since 10 steps make a 7/6, which is referred to as the grave minor third sometimes. It has a comma basis 4225/4224, 4375/4374, 6656/6655, {{monzo|23 5 13 -23 1 0}} in the 13-limit. Its generator is 36 steps, which represents 65/64 and 66/65 tempered together, and 2 of them make 33/32. 5 of them make [[27/25]], and 10 of them make 7/6. | ||
1619edo supports the 494 & 1619 temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. | 1619edo supports the 494 & 1619 temperament called moulin, with the comma basis of 4225/4224, 4375/4374, 6656/6655, 91125/91091. The 25-tone scale of moulin is capable of supporting the 8:11:13 triad, as it takes less than 25 notes to map the 11th and 13th harmonics. | ||
=== The Vidarines === | === The Vidarines === | ||
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| 266.831 | | 266.831 | ||
| 7/6 | | 7/6 | ||
| septimal subminor third | | septimal subminor third, grave minor third | ||
|- | |||
|744 | |||
|551.451 | |||
|11/8 | |||
|11th harmonic, undecimal superfourth | |||
|- | |||
|1134 | |||
|840.519 | |||
|13/8 | |||
|13th harmonic, tridecimal neutral sixth | |||
|- | |- | ||
| 1619 | | 1619 | ||