16edo: Difference between revisions
template cleanup |
ET parameter name, some cleanup, cats |
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| Prime factorization = 2<sup>4</sup> | | Prime factorization = 2<sup>4</sup> | ||
| Step size = 75¢ | | Step size = 75¢ | ||
| Fifth | | Fifth = 9\16 = 675¢ | ||
| Major 2nd = 2\16 = 150¢ | | Major 2nd = 2\16 = 150¢ | ||
| Minor 2nd = 3\16 = 225¢ | | Minor 2nd = 3\16 = 225¢ | ||
| Augmented 1sn = -1\16 = -75¢ | | Augmented 1sn = -1\16 = -75¢ | ||
}} | }} | ||
{{todo|add introduction}} | |||
== Theory == | == Theory == | ||
{| class="wikitable | {| class="wikitable center-all" | ||
! | ! | ||
!prime 2 | ! prime 2 | ||
!prime 3 | ! prime 3 | ||
!prime 5 | ! prime 5 | ||
!prime 7 | ! prime 7 | ||
!prime 11 | ! prime 11 | ||
!prime 13 | ! prime 13 | ||
!prime 17 | ! prime 17 | ||
!prime 19 | ! prime 19 | ||
|- | |- | ||
!error (¢) | ! error (¢) | ||
| | | 0 | ||
| | | -27.0 | ||
| | | -11.3 | ||
| | | +6.2 | ||
| | | -26.3 | ||
| | | -15.6 | ||
| -30. | | -30.0 | ||
|2. | | 2.5 | ||
|- | |- | ||
![[relative error]] (%) | ! [[relative error]] (%) | ||
|0 | | 0 | ||
| -36 | | -36 | ||
| -15 | | -15 | ||
|8 | | +8 | ||
| -35 | | -35 | ||
| -21 | | -21 | ||
| -40 | | -40 | ||
|3 | | +3 | ||
|- | |- | ||
![[nearest edomapping]] | ! [[nearest edomapping]] | ||
|16 | | 16 | ||
|9 | | 9 | ||
|5 | | 5 | ||
|13 | | 13 | ||
|7 | | 7 | ||
|11 | | 11 | ||
|1 | | 1 | ||
|4 | | 4 | ||
|- | |- | ||
![[fifthspan]] | ! [[fifthspan]] | ||
|0 | | 0 | ||
| | | +1 | ||
| | | -3 | ||
| | | +5 | ||
| | | -1 | ||
| | | +3 | ||
| -7 | | -7 | ||
|4 | | +4 | ||
|} | |} | ||
| Line 1,059: | Line 1,060: | ||
[http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his "Armodue" theory for 16edo (esadekaphonic), including compositions. | [http://www.armodue.com/ricerche.htm Armodue]: Pierpaolo Beretta's website for his "Armodue" theory for 16edo (esadekaphonic), including compositions. | ||
For translations of parts of the Armodue pages see the [[Armodue]] on this wiki. | |||
==Images== | ==Images== | ||
| Line 1,065: | Line 1,066: | ||
==Books/Literature== | ==Books/Literature== | ||
Sword, Ronald. "Hexadecaphonic Scales for Guitar." IAAA Press, UK-USA. First Ed: Feb, 2010. (superfourth tuning) | * Sword, Ronald. "Thesaurus of Melodic Patterns and Intervals for 16-Tones" IAAA Press, USA. First Ed: August, 2011 | ||
* Sword, Ronald. "Hexadecaphonic Scales for Guitar." IAAA Press, UK-USA. First Ed: Feb, 2010. (superfourth tuning) | |||
Sword, Ronald. "Esadekaphonic Scales for Guitar." IAAA Press, UK-USA. First Ed: April, 2009. (semi-diminished fourth tuning) | * Sword, Ronald. "Esadekaphonic Scales for Guitar." IAAA Press, UK-USA. First Ed: April, 2009. (semi-diminished fourth tuning) | ||
==Compositions== | ==Compositions== | ||
[https://cityoftheasleep.bandcamp.com/track/huckleberry-regional-preserve Huckleberry Regional Preserve] by City of the Asleep | * [https://cityoftheasleep.bandcamp.com/track/huckleberry-regional-preserve Huckleberry Regional Preserve] by [[City of the Asleep]] | ||
* [https://cityoftheasleep.bandcamp.com/track/illegible-red-ink Illegible Red Ink] by City of the Asleep | |||
* [http://www.soundclick.com/bands/page_songInfo.cfm?bandID=660895&songID=12370649&showPlayer=true Prenestyna Highway] by [http://fiale.tk Fabrizio Fulvio Fausto Fiale] | |||
* [http://lastsacrament.bandcamp.com/album/enantiodromia Enantiodromia (album)] by [[Last Sacrament]] | |||
* [http://www.cdbaby.com/cd/aeternamusic Tribute to Armodue] by [[Aeterna]] | |||
* [http://www.io.com/%7Ehmiller/midi/16tet.mid Etude in 16-tone equal tuning] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/16tet.mp3 play] ([http://soonlabel.com/xenharmonic/archives/2604 organ version]) by [[Herman Miller]] | |||
* [https://soundcloud.com/ron-sword/mavila-fog The Foggy Road from Pasadena] by [[Ron Sword]] | |||
* [http://www.jeanpierrepoulin.com/mp3/Armodue78.mp3 Armodue78] by [[Jean-Pierre Poulin]] | |||
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Fiale/ffffiale+palestrinamortafantasiaquasiunasonata.mp3 Palestrina Morta, fantasia quasi una sonata] by [http://fiale.tk Fabrizio Fulvio Fausto Fiale] | |||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/05%20-%205.%2016%20octave.mp3 Comets Over Flatland 5] by [[Randy Winchester]] | |||
* [http://micro.soonlabel.com/16-ET/20120527-16-malathion.mp3 Malathion] by [http://chrisvaisvil.com/?p=2358#comments Chris Vaisvil] | |||
* [http://micro.soonlabel.com/16-ET/20130216_16edo_vesta.mp3 Being of Vesta] by [http://chrisvaisvil.com/?p=3061 Chris Vaisvil] | |||
* [http://micro.soonlabel.com/simultaneous-tunings/20130607_thin_ice_christiane.mp3 Thin Ice] by [[Chris Vaisvil]]; [http://chrisvaisvil.com/thin-ice-for-alto-female-choir-harp-and-percussion-in-adaptive-ji-16-edo-and-8-edo/ information on the composition] | |||
* [[:File:Mavila_Jazz_Rhodes_1.mp3|Mavila Jazz Groove]] by [[William Lynch]] | |||
* [[:File:mavila4.mp3|Cold, Dark Night for a Dance ]] by [[William Lynch]] | |||
* [https://soundcloud.com/fff-fiale/in-sospensione-neutra In Sospensione Neutra by Fabrizio Fulvio Fiale] | |||
[ | [[Category:Theory]] | ||
[[Category:Equal divisions of the octave]] | |||
[[Category:Teentuning]] | |||
[[Category:16edo| ]] <!-- main article --> | |||
[[Category:Listen]] | |||
[[Category:Mavila]] | |||
[[Category:Image]] | |||
[[Category:Guitar]] | |||
{{Todo | |||
| unify precision | |||
| cleanup | |||
}} | |||