Pythagorean tuning: Difference between revisions
No edit summary |
No edit summary |
||
| Line 6: | Line 6: | ||
}} | }} | ||
{{Wikipedia|Pythagorean tuning}} | {{Wikipedia|Pythagorean tuning}} | ||
The '''Pythagorean tuning''' is the 3-limit version of [[just intonation]]. It | The '''Pythagorean tuning''' is the 3-limit version of [[just intonation]]. It can be considered a [[trivial temperament|trivial]] rank-2 temperament in the 2.3 subgroup, as it tempers out no commas (providing no additional mappings for intervals other than the pure just structure). As such, all rank-2 temperaments generated by 3/2 and 2/1 in the 5-limit or higher (e.g. meantone) are extensions of pythagorean. | ||
The Pythagorean temperament consists of all intervals generated by a just 3/2 and 2/1. Musically, the 2/1 is most often interpreted as an equave, and as such Pythagorean tuning mirrors the structure of the [[chain of fifths]]. | The Pythagorean temperament consists of all intervals generated by a just 3/2 and 2/1. Musically, the 2/1 is most often interpreted as an equave, and as such Pythagorean tuning mirrors the structure of the [[chain of fifths]]. | ||