User:Ganaram inukshuk/7L 3s: Difference between revisions

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{{MOS intro|Scale Signature=7L 3s}}
{{MOS intro|Scale Signature=7L 3s}}
7L 3s represents temperaments such as [[mohajira]]/[[mohaha]]/[[mohoho]], whose generators are around a neutral 3rd. Mohaha and mohoho form a [[Chromatic pairs|chromatic pair]] consisting of a [[Mohaha7|seven]] and [[Mohaha10|ten-note scale]].
7L 3s represents temperaments such as [[mohajira]]/[[mohaha]]/[[mohoho]], whose generators are around a neutral 3rd. Mohaha and mohoho form a [[Chromatic pairs|chromatic pair]] consisting of a [[Mohaha7|seven]] and [[Mohaha10|ten-note scale]].


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Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones (''T''-''t''-''t''), or an augmented step, small tone, and quartertone (''A''-''t''-''q'').
Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones (''T''-''t''-''t''), or an augmented step, small tone, and quartertone (''A''-''t''-''q'').
==Scale tree ==
==Scale tree ==
{{Scale tree|7L 3s|Comments=6/5: Restles ↑;
{{MOS tuning spectrum
7/5: Beatles;
| Scale Signature = 7L 3s
3/2: Suhajira / ringo;
| 6/5 = Restles 
12/5: Hemif / hemififths;
| 7/5 = Beatles
5/2: Mohaha / neutrominant;
| 3/2 = Suhajira / ringo
13/5: Hemif / salsa / karadeniz;
| 12/5 = Hemif / hemififths
8/3: Mohaha / mohamaq;
| 5/2 = Mohaha / neutrominant
4/1: Mohaha / migration / mohajira;
| 13/5 = Hemif / salsa / karadeniz
6/1: Mohaha / ptolemy;
| 8/3 = Mohaha / mohamaq
13/8: Golden suhajira}}
| 4/1 = Mohaha / migration / mohajira
| 6/1 = Mohaha / ptolemy
| 13/8 = Golden suhajira
}}
 
== See also ==
== See also ==
* Graham Breed's page on 7L 3s (and 3L 7s to an extent)
* Graham Breed's page on 7L 3s (and 3L 7s to an extent)