540edo: Difference between revisions
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Contribution (talk | contribs) Created page with "= Theory = '''540 tone equal temperament''', also called '''540-EDO''' divides the octave in 540 equal steps. Since 540 = 2 * 270 and 540 = 45 * 12, it contains 270edo and 12e..." |
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= Theory = | = Theory = | ||
'''540 tone equal temperament''', also called '''540-EDO''' divides the octave in 540 equal steps. Since 540 = 2 * 270 and 540 = 45 * 12, it contains 270edo and 12edo as subsets, both belonging to the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences. | '''540 tone equal temperament''', also called '''540-EDO''' divides the octave in 540 equal steps. Since 540 = 2 * 270 and 540 = 45 * 12, it contains 270edo and 12edo as subsets, both belonging to the ''zeta peak edos'', ''zeta integral edos'' and ''zeta gap edos'' sequences. | ||
= Divisors = | = Divisors = | ||
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Its divisors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. | Its divisors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. | ||
= Intervals = | = Intervals = | ||
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Revision as of 22:41, 7 May 2020
Theory
540 tone equal temperament, also called 540-EDO divides the octave in 540 equal steps. Since 540 = 2 * 270 and 540 = 45 * 12, it contains 270edo and 12edo as subsets, both belonging to the zeta peak edos, zeta integral edos and zeta gap edos sequences.
Divisors
The prime factorization of 540 is [math]\displaystyle{ 540 = 2^{2} \cdot 3^{3} \cdot 5 }[/math]
Its divisors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540.
Intervals
| Size (steps) | Size (cents) | Just (ratio) | Just (cents) |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 | |||
| 4 |