Comma pump: Difference between revisions
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A '''comma pump''' is a harmonic sequence (or chord progression) wherein the [[tonic]] shifts up or down by a [[comma]] every time the sequence is traversed. | |||
== In just intonation == | |||
This means that in [[just intonation]] (JI), the chord progression would not return to the original starting pitch, but a different pitch that is a comma off. If the chord progression is repeated many times, the tuning will steadily rise or fall (and also an unlimited number of different pitches would be required). | |||
== In | |||
This means that in [[ | |||
== Tempered == | == Tempered == | ||
If, on the other hand, the chord progression is played in a [[Regular_Temperaments|temperament]] in which the comma vanishes, it does return to exactly the same starting pitch. This means that comma pumps are very characteristic chord progressions of a particular temperament family. For example, Western classical and popular music is in [[Meantone|meantone]] or [[12edo|12edo]], which tempers out 81/80, and accordingly [[Meantone_comma_pump_examples|81/80 comma pumps]] are very familiar chord progressions. Comma pumps corresponding to other commas of 12edo, for example 128/125 or 225/224, may form the basis of interesting chord progressions in jazz or other 12edo music. | If, on the other hand, the chord progression is played in a [[Regular_Temperaments|temperament]] in which the comma vanishes, it does return to exactly the same starting pitch. This means that comma pumps are very characteristic chord progressions of a particular temperament family. For example, Western classical and popular music is in [[Meantone|meantone]] or [[12edo|12edo]], which tempers out 81/80, and accordingly [[Meantone_comma_pump_examples|81/80 comma pumps]] are very familiar chord progressions. Comma pumps corresponding to other commas of 12edo, for example 128/125 or 225/224, may form the basis of interesting chord progressions in jazz or other 12edo music. | ||
== JI "Zero comma pumps" == | == JI "Zero comma pumps" == | ||
"Zero comma pumps" are possible in JI systems which contain the comma as an interval. In this case, like the tempered version, the original pitch is returned to. However, this is achieved by changing pitch an additional time across that comma-sized interval (or skipping the pitch which is a comma off from the original pitch). | "Zero comma pumps" are possible in JI systems which contain the comma as an interval. In this case, like the tempered version, the original pitch is returned to. However, this is achieved by changing pitch an additional time across that comma-sized interval (or skipping the pitch which is a comma off from the original pitch). | ||
== Other examples == | == Other examples == | ||
For other examples of comma pumps, see [[Comma pump examples]]. | For other examples of comma pumps, see [[Comma pump examples]]. | ||