143/128: Difference between revisions
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'''143/128''', the '''grossmic whole tone''', is a [[13-limit]] whole-tone-type interval of about 191.85 [[cent]]s in size which separates [[13/8]] and [[16/11]] and likewise separates [[16/13]] from [[11/8]]. | '''143/128''', the '''grossmic whole tone''', is a [[13-limit]] whole-tone-type interval of about 191.85 [[cent]]s 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 == | == See also == | ||
Revision as of 23:35, 18 March 2023
| Interval information |
reduced harmonic
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