7L 3s (4/1-equivalent): Difference between revisions
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{{Infobox MOS}} | {{Infobox MOS}} | ||
'''7L 3s<4/1>''' (sometimes called '''diaquadic''') refers to a non-octave [[MOS scale]] family with a period of a [[4/1]] and which has 7 large and 3 small steps. These scales are in some ways a double octave clone of [[5L 2s|diatonic scale]]s because they are generated from perfect fifths and have the [[7edo]]/[[7ed4]] 685-cent flat fifth and [[5edo]]/10ed4's 720-cent sharp fifth at the ends of the tuning spectrum. However, ~3/2 is now the chroma-negative rather than chroma-positive generator, equalized and collapsed tunings are now swapped (equalized is 720-cent fifth and collapsed is 685-cent fifth), and the basic tuning is now the 705-cent gentle fifth from [[17edo]]/[[17ed4]] instead of 12edo's fifth. Diaquadic scales are also more widely spaced than diatonic scales, closer melodically to an octave-period pentatonic scale. | '''7L 3s<4/1>''' (sometimes called '''diaquadic''') refers to a non-octave [[MOS scale]] family with a period of a [[4/1]] and which has 7 large and 3 small steps. These scales are in some ways a double octave clone of [[5L 2s|diatonic scale]]s because they are generated from perfect fifths and have the [[7edo]]/[[7ed4]] 685-cent flat fifth and [[5edo]]/10ed4's 720-cent sharp fifth at the ends of the tuning spectrum. However, ~3/2 is now the chroma-negative rather than chroma-positive generator, equalized and collapsed tunings are now swapped (equalized is 720-cent fifth and collapsed is 685-cent fifth), and the basic tuning is now the 705-cent gentle fifth from [[17edo]]/[[17ed4]] instead of 12edo's fifth. Diaquadic scales are also more widely spaced than diatonic scales, closer melodically to an octave-period pentatonic scale. | ||
== Modes == | |||
* LLLsLLsLLs 9|0 | |||
* LLsLLLsLLs 8|1 | |||
* LLsLLsLLLs 7|2 | |||
* LLsLLsLLsL 6|3 | |||
* LsLLLsLLsL 5|4 | |||
* LsLLsLLLsL 4|5 | |||
* LsLLsLLsLL 3|6 | |||
* sLLLsLLsLL 2|7 | |||
* sLLsLLLsLL 1|8 | |||
* sLLsLLsLLL 0|9 | |||
Revision as of 09:03, 6 May 2023
| ↖ 6L 2s⟨4/1⟩ | ↑ 7L 2s⟨4/1⟩ | 8L 2s⟨4/1⟩ ↗ |
| ← 6L 3s⟨4/1⟩ | 7L 3s (4/1-equivalent) | 8L 3s⟨4/1⟩ → |
| ↙ 6L 4s⟨4/1⟩ | ↓ 7L 4s⟨4/1⟩ | 8L 4s⟨4/1⟩ ↘ |
sLLsLLsLLL
7L 3s<4/1> (sometimes called diaquadic) refers to a non-octave MOS scale family with a period of a 4/1 and which has 7 large and 3 small steps. These scales are in some ways a double octave clone of diatonic scales because they are generated from perfect fifths and have the 7edo/7ed4 685-cent flat fifth and 5edo/10ed4's 720-cent sharp fifth at the ends of the tuning spectrum. However, ~3/2 is now the chroma-negative rather than chroma-positive generator, equalized and collapsed tunings are now swapped (equalized is 720-cent fifth and collapsed is 685-cent fifth), and the basic tuning is now the 705-cent gentle fifth from 17edo/17ed4 instead of 12edo's fifth. Diaquadic scales are also more widely spaced than diatonic scales, closer melodically to an octave-period pentatonic scale.
Modes
- LLLsLLsLLs 9|0
- LLsLLLsLLs 8|1
- LLsLLsLLLs 7|2
- LLsLLsLLsL 6|3
- LsLLLsLLsL 5|4
- LsLLsLLLsL 4|5
- LsLLsLLsLL 3|6
- sLLLsLLsLL 2|7
- sLLsLLLsLL 1|8
- sLLsLLsLLL 0|9