12edo comma pump examples: Difference between revisions
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However, comma pumps of other commas tempered out by [[12edo|12edo]] are also found. These necessarily involve spelling an interval unusually (for example spelling a major third as a diminished fourth), because they involve an enharmonic pun (e.g. G#~Ab). | However, comma pumps of other commas tempered out by [[12edo|12edo]] are also found. These necessarily involve spelling an interval unusually (for example spelling a major third as a diminished fourth), because they involve an enharmonic pun (e.g. G#~Ab). | ||
=Augmented (128/125) comma pumps= | == Augmented (128/125) comma pumps == | ||
* ''Looney Tunes'' theme song, c. 1940. | |||
* ''I Wish'', Skee-Lo, 1995. | Comma pumps based on [[128/125]], the diesis. | ||
* ''Giant Steps'', John Coltrane 1959 [ | |||
* ''Looney Tunes'' theme song, Carl W. Stalling, c. 1940. https://youtu.be/0jTHNBKjMBU?t=19 | |||
* ''I Wish'', Skee-Lo, 1995. https://www.youtube.com/watch?v=cmXZOI7cM0M | |||
* ''Giant Steps'', John Coltrane, 1959. [[Wikipedia: Giant Steps (composition)]], https://www.youtube.com/watch?v=2kotK9FNEYU | |||
** '''Mike Battaglia note:''' you should be aware that, strictly speaking, Giant Steps doesn't actually involve a comma pump unless you deliberately want the "B" in the beginning at the top of the progression to be the same as the "B" at the end at the bottom. If you don't, it doesn't matter; then you can treat it starting at B and going down to Cb, and then ending on top at D#, and then it'll work in temperaments that don't temper out 128/125, such as 19-EDO. The important thing is that nothing drifts with each successive iteration of the head. | ** '''Mike Battaglia note:''' you should be aware that, strictly speaking, Giant Steps doesn't actually involve a comma pump unless you deliberately want the "B" in the beginning at the top of the progression to be the same as the "B" at the end at the bottom. If you don't, it doesn't matter; then you can treat it starting at B and going down to Cb, and then ending on top at D#, and then it'll work in temperaments that don't temper out 128/125, such as 19-EDO. The important thing is that nothing drifts with each successive iteration of the head. | ||
* ''Doctor Gradus ad Parnassum'', Claude Debussy, 1908. | * ''Doctor Gradus ad Parnassum'', Claude Debussy, 1908. https://www.youtube.com/watch?v=1k_OLrK4ZuE | ||
** This piece plays with the enharmonic equivalence between A♭ ([[8/5]]) and G♯ ([[25/16]]). | ** This piece plays with the enharmonic equivalence between A♭ ([[8/5]]) and G♯ ([[25/16]]). | ||
=Diminished (648/625) comma pumps= | == Diminished (648/625) comma pumps == | ||
based on [[648/625]], todo. | |||
== Srutal (2048/2025) comma pumps == | |||
based on [[2048/2025]], todo. | |||
[[Category:Comma pump]] | |||
Latest revision as of 19:27, 4 August 2022
The most common kind of comma pump encountered in "non-xenharmonic" Western music is the meantone comma pump, for which there is a separate page: Meantone comma pump examples. These work in any meantone temperament, including 19edo, 26edo, 31edo, etc. Since standard notation is based on meantone, these don't appear unusual in any way.
However, comma pumps of other commas tempered out by 12edo are also found. These necessarily involve spelling an interval unusually (for example spelling a major third as a diminished fourth), because they involve an enharmonic pun (e.g. G#~Ab).
Augmented (128/125) comma pumps
Comma pumps based on 128/125, the diesis.
- Looney Tunes theme song, Carl W. Stalling, c. 1940. https://youtu.be/0jTHNBKjMBU?t=19
- I Wish, Skee-Lo, 1995. https://www.youtube.com/watch?v=cmXZOI7cM0M
- Giant Steps, John Coltrane, 1959. Wikipedia: Giant Steps (composition), https://www.youtube.com/watch?v=2kotK9FNEYU
- Mike Battaglia note: you should be aware that, strictly speaking, Giant Steps doesn't actually involve a comma pump unless you deliberately want the "B" in the beginning at the top of the progression to be the same as the "B" at the end at the bottom. If you don't, it doesn't matter; then you can treat it starting at B and going down to Cb, and then ending on top at D#, and then it'll work in temperaments that don't temper out 128/125, such as 19-EDO. The important thing is that nothing drifts with each successive iteration of the head.
- Doctor Gradus ad Parnassum, Claude Debussy, 1908. https://www.youtube.com/watch?v=1k_OLrK4ZuE
Diminished (648/625) comma pumps
based on 648/625, todo.
Srutal (2048/2025) comma pumps
based on 2048/2025, todo.