1ed125c: Difference between revisions
Wikispaces>FREEZE No edit summary |
Propose merge (very similar tunings) |
||
| (19 intermediate revisions by 8 users not shown) | |||
| Line 1: | Line 1: | ||
= | {{todo|merge articles|inline=1|text=Merge [[4ed4/3]] and [[1ed125c]]?}} | ||
{{Infobox ET|48ed32}} | |||
'''1 equal division of 125¢''' ('''1ed125c'''), also known as '''arithmetic pitch sequence of 125¢''' ('''APS125¢'''), is a [[nonoctave]] tuning using equal steps of 125 cents each. This could be considered as dividing the approximate [[perfect fourth]] of 500 cents into 4 equal parts, making it very slightly stretched [[4ed4/3]]. It is equivalent to 9.6[[edo]], and is a subset of [[48edo]] (every fifth step). Therefore, it can be regarded as 48ed32. | |||
{{harmonics in cet|125}} | |||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| | | ! | Degree | ||
| | | ! | Cents | ||
! | Associated ratios | |||
! | Interval name | |||
|- | |- | ||
| | 0 | | | 0 | ||
| | 0 | | | 0 | ||
| | [[1/1]] | |||
| | unison | |||
|- | |- | ||
| | 1 | | | 1 | ||
| | 125 | |||
| | [[14/13]], [[15/14]] | |||
| | 2/3-tone, trienthird | | | 2/3-tone, trienthird | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 250 | |||
| | [[15/13]], [[22/19]] | |||
| | semifourth | | | semifourth | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 375 | | | 375 | ||
| | [[5/4]] | |||
| | narrow perde segah, marvelous major third, near just major third | |||
|- | |- | ||
| | 4 | | | 4 | ||
| | 500 | |||
| | [[4/3]] | |||
| | perfect fourth | | | perfect fourth | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 625 | | | 625 | ||
| | [[10/7]], [[23/16]] | |||
| | pental diminished fifth, classic diminshed fifth | |||
|- | |- | ||
| | 6 | | | 6 | ||
| | 750 | |||
| | [[17/11]], [[20/13]] | |||
| | septendecimal subminor sixth | | | septendecimal subminor sixth | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 875 | |||
| | [[5/3]] | |||
| | major sixth | | | major sixth | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 1000 | |||
| | [[16/9]] | |||
| | Pythagorean minor seventh | | | Pythagorean minor seventh | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 1125 | | | 1125 | ||
| | [[21/11]], [[23/12]] | |||
| | classic ([[5-limit|5-limit]]) diminished octave | |||
|- | |- | ||
| | 10 | | | 10 | ||
| | 1250 | |||
| | [[33/16]] | |||
| | | | | | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 1375 | |||
| | | |||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 1500 | |||
| | | |||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 1625 | |||
| | | |||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 1750 | |||
| | | |||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 1875 | |||
| | | |||
| | | | | | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 2000 | |||
| | | |||
| | | | | | ||
|} | |} | ||
==Scala file== | |||
<pre> | |||
! E:\cakewalk\scales\125cent.scl | ! E:\cakewalk\scales\125cent.scl | ||
! | ! | ||
125 cent tuning | 125 cent tuning | ||
4 | 4 | ||
! | ! | ||
125.00000 | 125.00000 | ||
250.00000 | 250.00000 | ||
375.00000 | 375.00000 | ||
500.00000 | 500.00000 | ||
</pre> | |||
==Music== | |||
*[http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall] by [[Chris Vaisvil]] | |||
[http://chrisvaisvil.com/canyon-diablo-fall/ Canyon Diablo Fall] | **http://micro.soonlabel.com/125cent/20130317_125cent.mp3 | ||
*[http://chrisvaisvil.com/crossing-over-125cet/ Crossing Over] by [[Chris Vaisvil]] (125cET is an outdated name for this tuning system, standing for "125-cent equal temperament") | |||
**http://micro.soonlabel.com/125cent/20141011_125ct_crossing_over.mp3 | |||
[[Category:listen]] | [[Category:listen]] | ||
[[Category:nonoctave]] | [[Category:nonoctave]] | ||