Septimal enneadeca
Jump to navigation
Jump to search
Ratio
1 570 042 899 082 081 611 640 534 563 /
1 566 652 225 014 704 215 735 402 496
Factorization
2-37 × 357 × 7-19
Monzo
[-37 57 0 -19⟩
Size in cents
3.742826¢
Name
septimal enneadeca
FJS name
[math]\text{13d}{-13}_{7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7}[/math]
Special properties
reduced
Tenney height (log2 nd)
180.683
Weil height (log2 max(n, d))
180.686
Wilson height (sopfr(nd))
378
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.32888 bits
Comma size
small
open this interval in xen-calc
| Interval information |
1 566 652 225 014 704 215 735 402 496
(Shannon, [math]\sqrt{nd}[/math])
The septimal enneadeca (monzo: [-37 57 0 -19⟩), is an interval of 3.743 cents which is the amount by which nineteen 28/27's fall short of an octave, that is, 2/(28/27)19.
Temperaments
Because of how accurately 19edo approximates 6/5, there is no real reason to not also temper out the enneadeca with the septimal enneadeca, leading to the 7-limit version of enneadecal.
Enneadecal
See Ragismic microtemperaments #Enneadecal.