37/22: Difference between revisions
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Created page with "{{Infobox Interval|Ratio=37/22}} 37/22, the '''37-limit major sixth''' or '''37-limit 3/4-octave''' is a 37-limit, (also 2.11.37 subgroup) interval. == Theory == In logarit..." |
→Theory: it is convergent |
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== Theory == | == Theory == | ||
In logarithmic division, it is extremely close to three quarters of the octave. | In logarithmic division, it is extremely close to three quarters of the octave, being a convergent. | ||
The 4320 & 5544 period-72 temperament in the 2.3.5.7.11.13.17.31.37 subgroup tunes both 11th and 37th harmonic to 25 generators down, thus tempering this interval to exact 3/4 of the octave. | The 4320 & 5544 period-72 temperament in the 2.3.5.7.11.13.17.31.37 subgroup tunes both 11th and 37th harmonic to 25 generators down, thus tempering this interval to exact 3/4 of the octave. | ||
Revision as of 00:28, 14 January 2023
| Interval information |
37/22, the 37-limit major sixth or 37-limit 3/4-octave is a 37-limit, (also 2.11.37 subgroup) interval.
Theory
In logarithmic division, it is extremely close to three quarters of the octave, being a convergent.
The 4320 & 5544 period-72 temperament in the 2.3.5.7.11.13.17.31.37 subgroup tunes both 11th and 37th harmonic to 25 generators down, thus tempering this interval to exact 3/4 of the octave.