143/128
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| Ratio | 143/128 |
| Factorization | 2-7 × 11 × 13 |
| Monzo | [-7 0 0 0 1 1⟩ |
| Size in cents | 191.8456¢ |
| Name | grossmic whole tone |
| Color name | 3o1o2, tholo 2nd |
| FJS name | [math]\text{m2}^{11,13}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 14.1599 |
| Weil height (log2 max(n, d)) | 14.3197 |
| Wilson height (sopfr (nd)) | 38 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.20566 bits |
| open this interval in xen-calc | |
143/128, the grossmic whole tone, is a 13-limit whole-tone-type interval of about 191.85 cents in size which separates 13/8 and 16/11 and likewise separates 16/13 from 11/8. It is represented near perfectly in edos that are a multiple of 25, and as those that are multiples of 50 also represent 11/8 and 13/8 within a fraction of a cent, they give it a consistent identity. It differs from 19/17 by 2432/2431, making tempering that out an excellent way of associating 13-limit intervals with simpler 19-limit ones. Two of them fall short of 5/4 by 20480/20449
See also
- 256/143 – its octave complement
- 192/143 – its fifth complement
- 512/429 – its fourth complement