24edo: Difference between revisions

=== Mainstream quartertone notation ===

or ^ = quarter-tone sharp or "Jump" or "up"

or #^ or ^# = three-quarter-tone sharp or "Jump-Sharp" or "upsharp"

or v = quarter-tone flat or "Drop" or "down"

Pros: Familiar, fairly easy to learn

Cons: Clutters a score easily, can get confusing when sight read at faster paces

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External image: http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif<br>

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External image: http://www.dolmetsch.com/onequarterflat.gif<br>

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External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>

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External image: http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif<br>

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External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>

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External image: http://faculty.mansfield.edu/jmurphy/oldsite/quartertonesharp.gif<br>

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External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>

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Cons: Not practical, tends to clutter a score

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Cons: Hard to write on a computer, doesn't fit with standard notation well

[[Sagittal notation]] works extremely well for 24edo notation as well as other systems.

[[File:24edo Sagittal.png|800px]]

24edo features a rich variety of not only new chords, but also alterations that can be used with regular 12 Edo chords. For example, an approximation of the ninth, eleventh, and thirteenth harmonic can be added to a major triad to create a sort of super-extended chord structure of a major chord: 4:5:6:9:11:13.

Its inversion, 0-3-6-10-14 ("minor")

William Lynch considers these as some possible good tetrads:

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| 1 v3 5 v7

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| 0 9 14 19

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The tendo chord can also be spelled 1 ^3 5 ^6. Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.

24edo [[tempers out]] the following [[comma]]s. This assumes [[val]] {{val| 24 38 56 67 83 89 }}.  

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| 5

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| 21.51

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| Sagugu

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| 5

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| Slendro diesis

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| Labirugu

| Cataharry

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| Porwell

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| 14.37

| Biyatisma

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| Lorugugu

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| 7.14

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| Thozogu

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Important MOSes include:  

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| 1

| 11\24

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| 1\24

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| 5\24

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| 1\24

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| Diatonic + Enharmonic Diesis Hypophrygian

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| Neutral Hypolydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]

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| Neutral Hypophrygian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]

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| Maqam Nahfat

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| Maqam Rahat al-Arwah

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| Progressive Enneatonic

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| Maqam Huzam

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| Breed Decatonic - [[MOSScales|MOS]] of type [[7L_3s|7L 3s (unfair mosh)]]

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| Maqam Shawq Tarab

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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.

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External image: http://www.swordguitars.com/Sword_quartertone_stratsm.jpg<br>

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Hidekazu Wakabayashi tuned a piano and harp to where the normal sharps and flats are tuned 50 cents higher in which he called [[Iceface tuning]].

<span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Microhex3.mp3 Microhex3]</span> <span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Microhex4.mp3 Microhex4]</span> and <span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Mohajeri/Microhex5.mp3 Microhex5]</span> by [http://www.96edo.com/About_me.html Shaahin Mohajeri]

[http://micro.soonlabel.com/gene_ward_smith/Others/BeDell/Quarter%20Tone%20Prelude%20for%20two%20Harps.mp3 Quarter Tone Prelude For Two Harps] by [http://soundcloud.com/cerbeus-1/quarter-tone-prelude-for-two Nathan BeDell]

<span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-1.mp3 Fretless Chrome 1]</span> and <span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-2.mp3 Fretless Chrome 2]</span> by [http://chrisvaisvil.com/?p=1477 Chris Vaisvil]

[https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neutral[7] (2.3.11 mohajira), 24et tuning

[http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces List of quartertone pieces on Wikipedia]

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External image: http://ronsword.com/images/24_tet_Coversm.jpg<br>

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'''"Icosakaiteraphonic Scales for Guitar"''' - A Book for Twenty-Four Equal Divisions of the Octave on guitar, or 'Quarter-tones'. Features a practical approach to understanding the tuning, and over 550 Scale Examples on Nine-String finger board charts, which allows for both symmetrical tuning visualization and standard guitar tuning- helpful for bassists and large range guitarists as well. Includes MOS, DE, and *all* the Scales / Modes from the list above.

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