35/32
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| Ratio | 35/32 |
| Factorization | 2-5 × 5 × 7 |
| Monzo | [-5 0 1 1⟩ |
| Size in cents | 155.13962¢ |
| Name | septimal neutral second |
| Color name | zy2, zoyo 2nd |
| FJS name | [math]\text{M2}^{5,7}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 10.1293 |
| Weil height (log2 max(n, d)) | 10.2586 |
| Wilson height (sopfr(nd)) | 22 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.23815 bits |
| Comma size | large |
| S-expression | S5 × S6 × S7 |
[sound info] | |
| open this interval in xen-calc | |
35/32, the septimal neutral second, is approximately half of a 6/5 just minor third; (6/5)/(35/32)2 = 6144/6125, the porwell comma. It is the interval between 8/7 and 5/4. It is 385/384 sharp of 12/11, and tempering it out makes the interval from 8/7 to 5/4 a 12/11, and leads to keenanismic chords, interpreting 48/35 as 11/8. It is also 176/175 flat of 11/10, and tempering that out instead leads to valinorsmic chords and interprets 48/35 as 15/11.