Septimal enneadeca
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| 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 | 3.7428264¢ |
| 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 | |
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.