5L 2s: Difference between revisions

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Temperaments above 7\12 on this chart are called "negative temperaments" (as they lessen the size of the fifth) and include meantone systems such as 1/3-comma (close to 11\19) and 1/4-comma (close to 18\31). As these tunings approach 4\7, the majors become flatter and the minors become sharper.

Temperaments below 7\12 on this chart are called "positive temperaments" and they include Pythagorean tuning itself (well approximated by 31\53) as well as superpyth temperaments such as 10\17 and 13\22. As these tunings approach 3\5, the majors become sharper and the minors become flatter. Around 13\22, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.

Temperaments below 7\12 on this chart are called "positive temperaments" and they include Pythagorean tuning itself (well approximated by 31\53) as well as superpyth temperaments such as 10\17 and 13\22. As these tunings approach 3\5, the majors become sharper and the minors become flatter. Around 13\22 through 16\27, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.

[[File:5L2s.jpg|alt=5L2s.jpg|5L2s.jpg]]

5L 2s contains the pentatonic MOS [[2L_3s|2L 3s]] and (with the sole exception of the 5L 2s of 12edo) is itself contained in a dodecaphonic MOS: either [[7L_5s|7L 5s]] or [[5L_7s|5L 7s]].

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 Temperaments above 7\12 on this chart are called "negative temperaments" (as they lessen the size of the fifth) and include meantone systems such as 1/3-comma (close to 11\19) and 1/4-comma (close to 18\31). As these tunings approach 4\7, the majors become flatter and the minors become sharper.
-Temperaments below 7\12 on this chart are called "positive temperaments" and they include Pythagorean tuning itself (well approximated by 31\53) as well as superpyth temperaments such as 10\17 and 13\22. As these tunings approach 3\5, the majors become sharper and the minors become flatter. Around 13\22, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.
+Temperaments below 7\12 on this chart are called "positive temperaments" and they include Pythagorean tuning itself (well approximated by 31\53) as well as superpyth temperaments such as 10\17 and 13\22. As these tunings approach 3\5, the majors become sharper and the minors become flatter. Around 13\22 through 16\27, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.
 [[File:5L2s.jpg|alt=5L2s.jpg|5L2s.jpg]]
 L 2s contains the pentatonic MOS [[2L_3s|2L 3s]] and (with the sole exception of the 5L 2s of 12edo) is itself contained in a dodecaphonic MOS: either [[7L_5s|7L 5s]] or [[5L_7s|5L 7s]].