2376/2375
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Ratio
2376/2375
Factorization
23 × 33 × 5-3 × 11 × 19-1
Monzo
[3 3 -3 0 1 0 0 -1⟩
Size in cents
0.72878723¢
Name
trichthonisma
Color name
19u1og31,
nulotrigu 1sn,
Nulotrigu comma
FJS name
[math]\text{d1}^{11}_{5,5,5,19}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
22.428
Weil height (log2 max(n, d))
22.4286
Wilson height (sopfr(nd))
60
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20478 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
nulotrigu 1sn,
Nulotrigu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
2376/2375, the trichthonisma, is an unnoticeable 19-limit (also 2.3.5.11.19-subgroup) superparticular comma of about 0.73 cents. It is the amount by which a stack of three 6/5's exceeds 19/11. By tempering it out is defined the trichthonismic temperament, which enables the trichthonismic chords.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 96/95 and 100/99 *
- 126/125 and 133/132
- 176/175 and 190/189
- 286/285 and 325/324
- 324/323 and 375/374
- 476/475 and 595/594
- 495/494 and 625/624
- 1001/1000 and 1729/1728
- 1331/1330 and 3025/3024
- 1521/1520 and 4225/4224
- 1540/1539 and 4375/4374
- 1701/1700 and 5985/5984
- 1716/1715 and 6175/6174
It factors into the following superparticular pairs:
- 3136/3135 and 9801/9800
- 2926/2925 and 12636/12635
- 2601/2600 and 27456/27455
- 2431/2430 and 104976/104975
- 2401/2400 and 228096/228095
* relation within the 2.3.5.11.19 subgroup
Etymology
The name trichthonisma was named by Xenllium in 2023, for the following reason - tempering it out leads dividing an interseptimal interval, 19/11 (octave complement of a chthonic interval, 22/19) in three.