24edo: Difference between revisions
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===Further discussion of 24edo notation=== | ===Further discussion of 24edo notation=== | ||
*[[24edo interval names and harmonies]] | * [[24edo interval names and harmonies]] | ||
*[[24edo Chord Names]] | * [[24edo Chord Names]] | ||
*[[Ups and Downs Notation#Chords and Chord Progressions]]. | * [[Ups and Downs Notation#Chords and Chord Progressions]]. | ||
==Regular temperament properties== | ==Regular temperament properties== | ||
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===Rank-2 temperaments === | ===Rank-2 temperaments === | ||
*[[List of 24et rank two temperaments by badness]] | * [[List of 24et rank two temperaments by badness]] | ||
*[[List of edo-distinct 24et rank two temperaments]] | * [[List of edo-distinct 24et rank two temperaments]] | ||
Important MOSes include: | Important MOSes include: | ||
* | * Semaphore 4L1s 55455 (generator: 5\24) | ||
* | * Semaphore 5L4s 414144141 (generator: 5\24) | ||
* | * Mohajira 3L4s 3434343 (generator: 7\24) | ||
* | * Mohajira 7L3s 3313313313 (generator: 7\24) | ||
{| class="wikitable right-2" | {| class="wikitable right-2" | ||
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More good chords in 24edo: | More good chords in 24edo: | ||
*0-4-8-11-14 ("major" chord with a 9:8 and a 11:8 above the root) | * 0-4-8-11-14 ("major" chord with a 9:8 and a 11:8 above the root) | ||
*Its inversion, 0-3-6-10-14 ("minor") | * Its inversion, 0-3-6-10-14 ("minor") | ||
* 0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24 ([[godzilla]]), that is close to equi-pentatonic and also close to several Indonesian slêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24 ([[mohajira]]), a heptatonic scale close to several Arabic scales.) | * 0-5-10 (another kind of "neutral", splitting the fourth in two. The 0-5-10 can be extended into a pentatonic scale, 0-5-10-14-19-24 ([[godzilla]]), that is close to equi-pentatonic and also close to several Indonesian slêndros. In a similar way 0-7-14 extends to 0-4-7-11-14-18-21-24 ([[mohajira]]), a heptatonic scale close to several Arabic scales.) | ||
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The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | The ever-arising question in microtonal music, how to play it on instruments designed for 12edo, has a relatively simple answer in the case of 24edo: use two standard instruments tuned a quartertone apart. This [[Microtonal_Keyboards#twelvenoteoctavescales|"12 note octave scales"]] approach is used in a wide part of the existing literature - see below. | ||
Guitars with 24 frets are also an option and are available from Ron Sword / Metatonal Music, with an example below. | Guitars with 24 frets are also an option and are available from Ron Sword / [https://www.metatonalmusic.com Metatonal Music], with an example below. | ||
[[File:24edo_guitar.jpg|500px]] | [[File:24edo_guitar.jpg|500px]] | ||
However, | However, the extra frets can make playing chords and navigating the fretboard significantly more challenging for 12edo chords and scales, despite being playable. | ||
More common is the "Sazocaster" tuning popularised by Australian band King Gizzard and the Lizard Wizard, which adds quarter tones between approximately half the regular frets. Multiple guitar companies have produced variants of this, including Eastwood and Revelation. | |||
[[File:Eastwood-guitars-phase-4-mt-2307179.jpg|500px]] | [[File:Eastwood-guitars-phase-4-mt-2307179.jpg|500px]] | ||
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==See also== | ==See also== | ||
*[[Equal-step tuning|Equal multiplications]] of MIDI-resolution units | * [[Equal-step tuning|Equal multiplications]] of MIDI-resolution units | ||
**[[48edo]] (2mu tuning) | ** [[48edo]] (2mu tuning) | ||
**[[96edo]] (3mu tuning) | ** [[96edo]] (3mu tuning) | ||
**[[192edo]] (4mu tuning) | ** [[192edo]] (4mu tuning) | ||
**[[384edo]] (5mu tuning) | ** [[384edo]] (5mu tuning) | ||
**[[768edo]] (6mu tuning) | ** [[768edo]] (6mu tuning) | ||
**[[1536edo]] (7mu tuning) | ** [[1536edo]] (7mu tuning) | ||
**[[3072edo]] (8mu tuning) | ** [[3072edo]] (8mu tuning) | ||
**[[6144edo]] (9mu tuning) | ** [[6144edo]] (9mu tuning) | ||
**[[12288edo]] (10mu tuning) | ** [[12288edo]] (10mu tuning) | ||
**[[24576edo]] (11mu tuning) | ** [[24576edo]] (11mu tuning) | ||
**[[49152edo]] (12mu tuning) | ** [[49152edo]] (12mu tuning) | ||
**[[98304edo]] (13mu tuning) | ** [[98304edo]] (13mu tuning) | ||
**[[196608edo]] (14mu tuning) | ** [[196608edo]] (14mu tuning) | ||
==External links== | ==External links== | ||
*[http://tonalsoft.com/enc/q/quarter-tone.aspx Tonalsoft Encyclopedia | ''quarter-tone / 24-edo / 24-ed2''] [https://www.webcitation.org/5xeFMH6cd Permalink] | * [http://tonalsoft.com/enc/q/quarter-tone.aspx Tonalsoft Encyclopedia | ''quarter-tone / 24-edo / 24-ed2''] [https://www.webcitation.org/5xeFMH6cd Permalink] | ||
*[http://www.96edo.com/24_EDO.html About 24-EDO] by Shaahin Mohajeri [https://www.webcitation.org/5xeFBNdQW Permalink] | * [http://www.96edo.com/24_EDO.html About 24-EDO] by Shaahin Mohajeri [https://www.webcitation.org/5xeFBNdQW Permalink] | ||
*[https://docs.google.com/file/d/0Bzrl-iLY6DeEVkl1VjBGdEJlOTg/edit Notation and Chord Names for 24-EDO] by William Lynch | * [https://docs.google.com/file/d/0Bzrl-iLY6DeEVkl1VjBGdEJlOTg/edit Notation and Chord Names for 24-EDO] by William Lynch | ||
*[http://www.tonalsoft.com/sonic-arts/darreg/dar8.htm The place of QUARTERTONES in Today's Xenharmonics] by [[Ivor Darreg]] | * [http://www.tonalsoft.com/sonic-arts/darreg/dar8.htm The place of QUARTERTONES in Today's Xenharmonics] by [[Ivor Darreg]] | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||