User:UnbihexiumFan/Temperaments: Difference between revisions
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== 243/242+2079/2048-based temperaments == | == 243/242+2079/2048-based temperaments == | ||
These temperaments temper out the rastma, [[243/242]], and an unnamed comma [[2079/2048]]. They are similar to [[mohajira]], but they can be tuned sharper to provide a better perfect fifth. | These temperaments temper out the rastma, [[243/242]], and an unnamed comma [[2079/2048]]. They are similar to [[mohajira]], but they can be tuned sharper to provide a better perfect fifth. In fact, mohajira is one possible fukk 7-limit extension, though this will focus on tunings sharper than mohajira. | ||
Interval chain in the 2.3.7.11-limit: | Interval chain in the 2.3.7.11-limit: | ||
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| +4 | | +4 | ||
| 196.30 | | 196.30 | ||
| [[9/8]] | | '''[[9/8]]''' | ||
| -4 | | -4 | ||
| Bb | | Bb | ||
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| Fd | | Fd | ||
| 458.32 | | 458.32 | ||
| [[21/16]] | | '''[[21/16]]''' | ||
|- | |- | ||
| B | | B | ||
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'''Bolded''' ratios are octave-reduced harmonics up to 21. | |||
=== 2.3.7.11.13 extension === | |||
One extension to the 2.3.7.11.13 subgroup is to temper [[28/27]] to be equal to [[27/26]], tempering out [[729/728]]. This maps the 13th harmonic, [[13/8]], to the sesqui-augmented second, D{{sesquisharp}}. | |||
2.3.7.11.17.19 extension: [[2057/2052]], [[513/512]], [[154/153]], [[243/242]] | 2.3.7.11.17.19 extension: [[2057/2052]], [[513/512]], [[154/153]], [[243/242]] | ||