3250/3249
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Ratio
3250/3249
Factorization
2 × 3-2 × 53 × 13 × 19-2
Monzo
[1 -2 3 0 0 1 0 -2⟩
Size in cents
0.5327694¢
Name
martebisma
Color name
19uu3oy3-2,
nunuthotriyo negative 2nd,
Nunuthotriyo comma
FJS name
[math]\text{d}{-2}^{5,5,5,13}_{19,19}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
23.332
Weil height (log2 max(n, d))
23.3324
Wilson height (sopfr(nd))
74
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20087 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
nunuthotriyo negative 2nd,
Nunuthotriyo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
3250/3249, the martebisma, is an unnoticeable 19-limit (also 2.3.5.13.19-subgroup) superparticular comma of about 0.53 cents. It is the amount by which a stack consisting of 10/9 and two 20/19's exceeds 16/13. By tempering it out is defined the martebismic temperament, which enables the martebismic chords.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 325/324 and 361/360 *
- 400/399 and 456/455
- 1445/1444 and 2601/2600
- 1540/1539 and 2926/2925
- 2080/2079 and 5776/5775
- 2500/2499 and 10830/10829
- 3025/3024 and 43681/43680
- 3136/3135 and 89376/89375
It factors into the following superparticular pairs:
- 6175/6174 and 6860/6859
- 4375/4374 and 12636/12635
- 4225/4224 and 14080/14079
- 4200/4199 and 14365/14364
* relation within the 2.3.5.13.19 subgroup
Etymology
The name martebisma was named by Xenllium in 2023. It refers to 3250 Martebo, the asteroid, which was in turn named after a settlement in Gotland, Sweden.