5L 3s (5/2-equivalent): Difference between revisions
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{{Infobox MOS}} | {{Infobox MOS}} | ||
{{MOS intro}} | {{MOS intro}} | ||
This can be thought of as a MOS generated by 5/2-equivalent jubilic temperament, one of the most simple no-threes temperaments, although in this case it is using the second-best period choice of 5/2 rather than 2/1. If 5/2 is the period, jubilic generates strict MOS rather than multi-MOS. The bright generator represents [[7/5]]~[[10/7]] and the dark generator represents [[7/4]]~[[25/14]]. | This can be thought of as a MOS generated by 5/2-equivalent jubilic temperament, one of the most simple no-threes temperaments, although in this case it is using the second-best period choice of 5/2 rather than 2/1. If 5/2 is the period, jubilic generates strict MOS rather than multi-MOS. The bright generator of the MOS represents [[7/5]]~[[10/7]] and the dark generator represents [[7/4]]~[[25/14]]. This gives 5L 3s<5/2> many approximants of 4:5:7 chords. | ||
== Modes == | == Modes == |
Revision as of 02:41, 2 July 2023
↖ 4L 2s⟨5/2⟩ | ↑ 5L 2s⟨5/2⟩ | 6L 2s⟨5/2⟩ ↗ |
← 4L 3s⟨5/2⟩ | 5L 3s (5/2-equivalent) | 6L 3s⟨5/2⟩ → |
↙ 4L 4s⟨5/2⟩ | ↓ 5L 4s⟨5/2⟩ | 6L 4s⟨5/2⟩ ↘ |
┌╥╥┬╥╥┬╥┬┐ │║║│║║│║││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
sLsLLsLL
Generator size(ed5/2)
Related MOS scales
Equal tunings(ed5/2)
5L 3s⟨5/2⟩ is a 5/2-equivalent (non-octave) moment of symmetry scale containing 5 large steps and 3 small steps, repeating every interval of 5/2 (1586.3 ¢). Generators that produce this scale range from 594.9 ¢ to 634.5 ¢, or from 951.8 ¢ to 991.4 ¢. This can be thought of as a MOS generated by 5/2-equivalent jubilic temperament, one of the most simple no-threes temperaments, although in this case it is using the second-best period choice of 5/2 rather than 2/1. If 5/2 is the period, jubilic generates strict MOS rather than multi-MOS. The bright generator of the MOS represents 7/5~10/7 and the dark generator represents 7/4~25/14. This gives 5L 3s<5/2> many approximants of 4:5:7 chords.
Modes
UDP | Cyclic order |
Step pattern |
---|---|---|
7|0 | 1 | LLsLLsLs |
6|1 | 4 | LLsLsLLs |
5|2 | 7 | LsLLsLLs |
4|3 | 2 | LsLLsLsL |
3|4 | 5 | LsLsLLsL |
2|5 | 8 | sLLsLLsL |
1|6 | 3 | sLLsLsLL |
0|7 | 6 | sLsLLsLL |