1463/1462

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Interval information
Ratio 1463/1462
Subgroup monzo 2.7.11.17.19.43 [-1 1 1 -1 1 -1
Size in cents 1.18375¢
Name nordenmarkisma
Color name 43u19o17uoz1
fothunosulozo unison
FJS name [math]\text{P1}^{7,11,19}_{17,43}[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 21.0284
Weil height (log2 max(n, d)) 21.0294
Wilson height (sopfr(nd)) 99
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.21216 bits
Comma size unnoticeable
open this interval in xen-calc

1463/1462, the nordenmarkisma, is a 43-limit superparticular comma of about 1.2 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 43-limit leads to the rank-13 temperament nordenmarkismic. Using the 2.7.11.17.19.43 subgroup leads to the rank-5 temperament nordenmarkic.

Nordenmarkic

Subgroup: 2.7.11.17.19.43

Comma list: 1463/1462

Mapping:

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

Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 968.715, ~11/8 = 551.149, ~17/16 = 105.191, ~19/16 = 297.259

Optimal ET sequence4, 5, 6h, 10hn, 11, 20n, 21, 24, 25n, 26, 32, 43n, 52, 56, 57, 89, 118, 150, 161, 207, 218, 368, 425, 431, 549, 581, 638, 799, 1006, 1437

Etymology

This comma was named by Francium in 2025. It refers to 1463 Nordenmarkia, the asteroid, which in turn was named after Nils Viktor Emanuel Nordenmark, a Swedish astronomer.

See also