25ed5: Difference between revisions
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'''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in [[wikipedia:Karlheinz Stockhausen|Stockhausen’s]] [[wikipedia:Studie II|Elektronische Studie II]]. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents. | '''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in [[wikipedia:Karlheinz Stockhausen|Stockhausen’s]] [[wikipedia:Studie II|Elektronische Studie II]]. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents. | ||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| Line 139: | Line 140: | ||
| | just major third plus two octaves | | | just major third plus two octaves | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 25 | |||
| num = 5 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 25 | |||
| num = 5 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
== Related temperament == | == Related temperament == | ||
25de5 is strongly related to the 140 & 183 temperament ([[stockhausenic]]), which tempers out 703125/702464 ([[meter]]) and 4096000/4084101 (hemfiness comma) in the 7-limit; 1375/1372, 5632/5625, and 35937/35840 in the 11-limit; 676/675, 1001/1000, 1573/1568, and 4096/4095 in the 13-limit. | |||
== Etymology == | |||
25ed5 is sometimes called "McLaren" or "Stockhausen" according to the main [[Ed5]] article. Stockhausen is named for Karlheinz Stockhausen who used this scale. McLaren might be named after [[Brian McLaren]]. | |||
== Music == | == Music == | ||
[https://www.youtube.com/watch?v=bwj6ZptPnDo Studie II] - [[wikipedia:Karlheinz Stockhausen|Karlheinz Stockhausen]] | [https://www.youtube.com/watch?v=bwj6ZptPnDo Studie II] - [[wikipedia:Karlheinz Stockhausen|Karlheinz Stockhausen]] | ||
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