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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{interwiki |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | de = Kommapumpe |
| : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2016-07-08 17:58:52 UTC</tt>.<br>
| | | en = Comma pump |
| : The original revision id was <tt>586719195</tt>.<br>
| | | es = |
| : The revision comment was: <tt></tt><br>
| | | ja = |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
| | {{Wikipedia}} |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[xenharmonie/Kommapumpe|Deutsch]]
| | [[File:Comma_pump_progressions.png|thumb|Schematic overview of three different kinds of progressions. A non-looping progression is an open path, both in JI and when tempered. A looping progression is a closed path. A '''comma pump''' is an open path in JI that becomes closed when tempered.]] |
| </span>
| | 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. |
| A **comma pump** is a harmonic sequence (or chord progression) wherein the tuning base shifts up or down by one [[comma]]. This means that in [[Just intonation|JI]], the chord prgression 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). | |
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| 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]], 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.
| | == 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). |
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| For other examples of comma pumps, see [[Comma pump examples]].</pre></div>
| | == Tempered == |
| <h4>Original HTML content:</h4>
| | 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. |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>comma pump</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Kommapumpe">Deutsch</a><br />
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| </span><br />
| | == JI "Zero comma pumps" == |
| A <strong>comma pump</strong> is a harmonic sequence (or chord progression) wherein the tuning base shifts up or down by one <a class="wiki_link" href="/comma">comma</a>. This means that in <a class="wiki_link" href="/Just%20intonation">JI</a>, the chord prgression 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).<br />
| | "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). |
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| If, on the other hand, the chord progression is played in a <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> 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 <a class="wiki_link" href="/Meantone">meantone</a> or <a class="wiki_link" href="/12edo">12edo</a>, which tempers out 81/80, and accordingly <a class="wiki_link" href="/Meantone%20comma%20pump%20examples">81/80 comma pumps</a> 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.<br /> | | == Other examples == |
| <br />
| | For other examples of comma pumps, see [[Comma pump examples]]. |
| For other examples of comma pumps, see <a class="wiki_link" href="/Comma%20pump%20examples">Comma pump examples</a>.</body></html></pre></div> | | |
| | [[Category:Comma pump| ]] <!-- main article --> |
| | [[Category:Terms]] |
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| | [[Category:Todo:review]] |