33264/33263

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Interval information
Ratio 33264/33263
Subgroup monzo 2.3.7.11.29.31.37 [4 3 1 1 -1 -1 -1
Size in cents 0.05204606¢
Name maryrogersisma
Color name 37u31u29u1oz1
thisuthiwutwenulozo unison
FJS name [math]\displaystyle{ \text{m2}^{7,11}_{29,31,37} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 30.0433
Weil height (log2 max(n, d)) 30.0433
Wilson height (sopfr(nd)) 132
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~1.19984 bits
Comma size unnoticeable
Open this interval in xen-calc

33264/33263, the maryrogersisma, is a 37-limit superparticular comma of about 0.052 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

It can be factored into the following superparticular ratios:

Temperaments

Tempering out this comma in the full 37-limit leads to the rank-11 temperament maryrogersismic. Using the 2.3.7.11.29.31.37 subgroup leads to the rank-6 temperament maryrogersic.

Maryrogersic

Subgroup: 2.3.7.11.29.31.37

Comma list: 33264/33263

Mapping:

[⟨ 1 1 2 3 4 4 4 ],
0 1 0 0 0 0 3 ],
0 0 1 0 0 0 1 ],
0 0 0 1 0 0 1 ],
0 0 0 0 1 0 -1 ],
0 0 0 0 0 1 -1 ]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.952, ~7/4 = 968.822, ~11/8 = 551.313, ~29/16 = 1029.588, ~31/16 = 1145.046

Optimal ET sequence5, 9jk, 10, 14l, 17, 22, 32j, 41, 48, 55l, 72k, 75ej, 77, 99ek, 103l, 121kl, 125, 135, 176, 301, 400, 436, 477, 612, 1029, 1084, 1164, 1443, 1619, 1641, 2248, 2549, 2684, 2725, 2860, 4501, 6421, 9281

Badness (Sintel): 0.047

Etymology

This comma was named by Francium in 2025. It refers to 33264 Maryrogers, the asteroid, which in turn was named after a teacher.

See also