Meantone: Difference between revisions
simplified links;, simplified lists; moved interwiki |
category ordering for same-name category |
||
| Line 1: | Line 1: | ||
'''Meantone''' is a familar historical [[ | '''Meantone''' is a familar historical [[temperament]] based on a chain of fifths (or fourths), which is discussed in [[meantone family]] in the context of the associated family of temperaments, and in [[meantone vs meanpop]] in terms of 11-limit extensions. | ||
== History == | == History == | ||
| Line 5: | Line 5: | ||
== Theory and Classification == | == Theory and Classification == | ||
Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[ | Meantone temperaments are based on two generating intervals; the octave and the fifth, from which all pitches are composed. This qualifies it as a [[Regular Temperaments|rank-2 temperament]]. The octave is typically pure or close to pure, and the fifth is a few cents narrower than pure. The rationale for narrowing the fifth is to temper out the syntonic comma. This means that stacking four fifths (such as C-G-D-A-E) results in a major third (C-E) that is close to just. | ||
[[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] <7 11 16|), with a modifier {..."double diminished", "diminished", "minor", "major", "augmented", "double augmented"...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third. | [[Meantone intervals|Intervals in meantone]] have standard names based on the number of steps of the diatonic scale they span (this corresponds to the [[val]] <7 11 16|), with a modifier {..."double diminished", "diminished", "minor", "major", "augmented", "double augmented"...} that tells you the specific interval in increments of a chromatic semitone. Note that in a general meantone system, all of these intervals are distinct. For example, a diminished fourth is a different interval from a major third. | ||
| Line 188: | Line 188: | ||
* [http://www.kylegann.com/histune.html http://www.kylegann.com/histune.html] -- An Introduction to Historical Tunings, by [[Kyle Gann]] | * [http://www.kylegann.com/histune.html http://www.kylegann.com/histune.html] -- An Introduction to Historical Tunings, by [[Kyle Gann]] | ||
[[Category: | [[Category:Meantone| ]] <!-- main article --> | ||
[[Category: | [[Category:Temperament]] | ||
[[Category: | [[Category:Theory]] | ||
<!-- interwiki --> | <!-- interwiki --> | ||
[[de: | [[de:Mitteltönig]] | ||