7/11 comma
(Redirected from 45927/45056)
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| Ratio | 45927/45056 |
| Factorization | 2-12 × 38 × 7 × 11-1 |
| Monzo | [-12 8 0 1 -1⟩ |
| Size in cents | 33.147971¢ |
| Name | 7/11 comma |
| Color name | L1uz1, Laluzo comma |
| FJS name | [math]\text{A1}^{7}_{11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 30.9465 |
| Weil height (log2 max(n, d)) | 30.9741 |
| Wilson height (sopfr(nd)) | 66 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.5015 bits |
| Comma size | medium |
| open this interval in xen-calc | |
The Sagittal 7/11 comma is a comma with a ratio of 45927/45056 and a value of approximately 33.15 cents. It is the apotome complement of 22/21, and the difference between the Pythagorean comma and the pentacircle comma (896/891). It is the comma that separates 11/7 and the Pythagorean augmented fifth, and separates 14/11 and the Pythagorean diminished fourth.
In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal and is called the 11/7 comma, or 11/7C for short, because the simplest interval it notates is 11/7, as for example in E -B . The upward version is called 7/11C or 11/7C up and is represented by .