32768/19683
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| Ratio | 32768/19683 |
| Factorization | 215 × 3-9 |
| Monzo | [15 -9⟩ |
| Size in cents | 882.40499¢ |
| Name | Pythagorean diminished seventh |
| Color name | sw2, sawa 7th |
| FJS name | [math]\text{d7}[/math] |
| Special properties | reduced, reduced subharmonic |
| Tenney height (log2 nd) | 29.2647 |
| Weil height (log2 max(n, d)) | 30 |
| Wilson height (sopfr (nd)) | 57 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.91247 bits |
| open this interval in xen-calc | |
The Pythagorean diminished seventh, 32768/19683, may be reached by stacking nine 4/3's and octave reducing. It differs from the classic major sixth, 5/3, by the schisma, and, as a result, the Pythagorean diminished seventh is useful in creating rather consonant diminished seventh chords.