Pythagorean tuning: Difference between revisions
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* [[Pythagorean41]] – proper [[12L 29s]] | * [[Pythagorean41]] – proper [[12L 29s]] | ||
* [[Pythagorean53]] – proper [[41L 12s]] | * [[Pythagorean53]] – proper [[41L 12s]] | ||
The [[hardness]]es of the Pythagorean scales are about 1.442 for pentic, 2.260 for diatonic, 1.260 for chromatic, and 3.846 for enharmonic. | |||
== Music == | == Music == | ||
Revision as of 11:01, 6 August 2024
The Pythagorean tuning is the 3-limit version of just intonation.
See 3-limit for more information.
Scales
- Pythagorean5 – proper 2L 3s. Also known as pythagorean pentic scale
- Pythagorean7 – improper 5L 2s. Also known as pythagorean diatonic scale
- Pythagorean12 – proper 5L 7s. Also known as pythagorean chromatic scale
- Pythagorean17 – improper 12L 5s. Also known as pythagorean enharmonic scale
- Pythagorean29 – improper 12L 17s
- Pythagorean41 – proper 12L 29s
- Pythagorean53 – proper 41L 12s
The hardnesses of the Pythagorean scales are about 1.442 for pentic, 2.260 for diatonic, 1.260 for chromatic, and 3.846 for enharmonic.
Music
See 3-limit #Music.