5edo: Difference between revisions

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For any musician, there is no substitute for the experience of a particular xenharmonic sound. The user going by the name Hyacinth on Wikipedia and Wikimedia Commons has many xenharmonic MIDI's and has graciously copylefted them! This is his 5-edo scale MIDI:
For any musician, there is no substitute for the experience of a particular xenharmonic sound. The user going by the name Hyacinth on Wikipedia and Wikimedia Commons has many xenharmonic MIDI's and has graciously copylefted them! This is his 5-edo scale MIDI:


* [http://commons.wikimedia.org/wiki/File:5-tet_scale_on_C.mid http://commons.wikimedia.org/wiki/File:5-tet_scale_on_C.mid]
* http://commons.wikimedia.org/wiki/File:5-tet_scale_on_C.mid


=== Intervals in 5-edo ===
=== Intervals in 5-edo ===
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{| class="wikitable"
{| class="wikitable"
|-
|-
! degrees
! rowspan="2" | degrees
! size <br/> in [[cent|cents]]
! colspan="3" | size <br /> in  
! Closest diatonic <br/> interval name
! rowspan="2" | Closest diatonic <br /> interval name
! The "neighborhood" of just intervals
! rowspan="2" | The "neighborhood" of just intervals
|-
![[cent|cents]]
!pions
!7mus
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| colspan="3" style="text-align:center;" | 0
| style="text-align:center;" | unison / prime
| style="text-align:center;" | unison / prime
| exactly 1/1
| exactly 1/1
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| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:center;" | 240
| style="text-align:center;" | 240
|254.4
|307.2 (133.3<sub>16</sub>)
| style="text-align:center;" | second, third
| style="text-align:center;" | second, third
| +8.826¢ from septimal second [[8/7|8/7]]
| +8.826¢ from septimal second [[8/7|8/7]]
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| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:center;" | 480
| style="text-align:center;" | 480
|508.8
|614.4 (266.6<sub>16</sub>)
| style="text-align:center;" | fourth
| style="text-align:center;" | fourth
| +9.219¢ from narrow fourth [[21/16|21/16]]
| +9.219¢ from narrow fourth [[21/16|21/16]]
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| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:center;" | 720
| style="text-align:center;" | 720
|763.2
|921.6 (399.A<sub>16</sub>)
| style="text-align:center;" | fifth
| style="text-align:center;" | fifth
| +18.045¢ from just fifth [[3/2|3/2]]
| +18.045¢ from just fifth [[3/2|3/2]]
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| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:center;" | 960
| style="text-align:center;" | 960
|1017.6
|1228.8 (4CC.D<sub>16</sub>)
| style="text-align:center;" | sixth, seventh
| style="text-align:center;" | sixth, seventh
| 26.871¢ from septimal major sixth [[12/7|12/7]]
| 26.871¢ from septimal major sixth [[12/7|12/7]]
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| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:center;" | 1200
| style="text-align:center;" | 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | octave / eighth
| style="text-align:center;" | octave / eighth
| exactly 2/1
| exactly 2/1
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* [[Hans_Straub|Hans Straub]]: [http://home.datacomm.ch/straub/mamuth/5tet_e.html#asimchomsaia Asîmchômsaia] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Straub/asimchomsaia.mp3 play]
* [[Hans_Straub|Hans Straub]]: [http://home.datacomm.ch/straub/mamuth/5tet_e.html#asimchomsaia Asîmchômsaia] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Straub/asimchomsaia.mp3 play]
* [[Brian_Wong|Brian Wong]]: [http://bwong.ca/template1.php?sub=3 Slendronica#1b] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Wong/Slendronica1b.ogg play]
* [[Brian_Wong|Brian Wong]]: [http://bwong.ca/template1.php?sub=3 Slendronica#1b] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Wong/Slendronica1b.ogg play]
* Brian McLaren: various and sundry</li><li>Paul Rubenstein: various, with electric guitars in 10- and 15-edo</li><li>X.J.Scott: ''Sleeping Through It All'' (2004)
* Brian McLaren: various and sundry<li>Paul Rubenstein: various, with electric guitars in 10- and 15-edo</li><li>X.J.Scott: ''Sleeping Through It All'' (2004)
* Bill Sethares: ''5-tet funk'' (2004), ''Pentacle'' (2004)
* Bill Sethares: ''5-tet funk'' (2004), ''Pentacle'' (2004)
* "Cenobyte" Ukulele [http://www.youtube.com/watch?v=UKUCRnEJKKU http://www.youtube.com/watch?v=UKUCRnEJKKU]
* "Cenobyte" Ukulele http://www.youtube.com/watch?v=UKUCRnEJKKU
* "[http://www.jamendo.com/en/list/a104474/true-island-5-equal-divisions-of-the-octave-ukulele True Island]" (album) by Small Scale Revolution (2011)
* "[http://www.jamendo.com/en/list/a104474/true-island-5-equal-divisions-of-the-octave-ukulele True Island]" (album) by Small Scale Revolution (2011)
* Ralph Jarzombek: [http://webzoom.freewebs.com/ralphjarzombek/micro12.mp3 Micro12]
* Ralph Jarzombek: [http://webzoom.freewebs.com/ralphjarzombek/micro12.mp3 Micro12]