Xenharmonic Wiki

21edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
m -major 2nd in infobox
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
Line 50: Line 50:
| 1
| 1
| 57.14
| 57.14
| ^1 <br> vv2
| ^1 vv2
| up unison, <br> double-down 2nd
| up unison, <br> dud 2nd
| ^C <br> vvD
| ^C <br> vvD
| C#
| C#
Line 62: Line 62:
| 114.29
| 114.29
| ^^1 <br> v2
| ^^1 <br> v2
| double-up unison, <br> down 2nd
| dup unison, <br> down 2nd
| ^^C <br> vD
| ^^C <br> vD
| Db
| Db
Line 84: Line 84:
| 228.57
| 228.57
| ^2 <br> vv3
| ^2 <br> vv3
| up 2nd, <br> double-down 3rd
| up 2nd, <br> dud 3rd
| ^D <br> vvE
| ^D <br> vvE
| D#
| D#
Line 95: Line 95:
| 285.71
| 285.71
| ^^2 <br> v3
| ^^2 <br> v3
| double-up 2nd, <br> down 3rd
| dup 2nd, <br> down 3rd
| ^^D <br> vE
| ^^D <br> vE
| Eb
| Eb
Line 117: Line 117:
| 400.00
| 400.00
| ^3 <br> vv4
| ^3 <br> vv4
| up 3rd, <br> double-down 4th
| up 3rd, <br> dud 4th
| ^E <br> vvF
| ^E <br> vvF
| E#/Fb
| E#/Fb
Line 128: Line 128:
| 457.14
| 457.14
| ^^3 <br> v4
| ^^3 <br> v4
| double-up 3rd, <br> down 4th
| dup 3rd, <br> down 4th
| ^^E <br> vF
| ^^E <br> vF
| F
| F
Line 150: Line 150:
| 571.43
| 571.43
| ^4 <br> vv5
| ^4 <br> vv5
| up 4th, <br> double-down 5th
| up 4th, <br> dud 5th
| ^F <br> vvG
| ^F <br> vvG
| Gb
| Gb
Line 161: Line 161:
| 628.57
| 628.57
| ^^4 <br> v5
| ^^4 <br> v5
| double-up 4th, <br> down 5th
| dup 4th, <br> down 5th
| ^^F <br> vG
| ^^F <br> vG
| G
| G
Line 183: Line 183:
| 742.86
| 742.86
| ^5 <br> vv6
| ^5 <br> vv6
| up 5th, <br> double-down 6th
| up 5th, <br> dud 6th
| ^G <br> vvA
| ^G <br> vvA
| Hb
| Hb
Line 194: Line 194:
| 800.00
| 800.00
| ^^5 <br> v6
| ^^5 <br> v6
| double-up 5th, <br> down 6th
| dup 5th, <br> down 6th
| ^^G <br> vA
| ^^G <br> vA
| H
| H
Line 216: Line 216:
| 914.29
| 914.29
| ^6 <br> vv7
| ^6 <br> vv7
| up 6th, <br> double-down 7th
| up 6th, <br> dud 7th
| ^A <br> vvB
| ^A <br> vvB
| A
| A
Line 227: Line 227:
| 971.43
| 971.43
| ^^6 <br> v7
| ^^6 <br> v7
| double-up 6th, <br> down 7th
| dup 6th, <br> down 7th
| ^^A <br> vB
| ^^A <br> vB
| A#
| A#
Line 249: Line 249:
| 1085.71
| 1085.71
| ^7 <br> vv8
| ^7 <br> vv8
| up 7th, <br> double-down 8ve
| up 7th, <br> dud 8ve
| ^B <br> vvC
| ^B <br> vvC
| B
| B
Line 260: Line 260:
| 1142.86
| 1142.86
| ^^7 <br> v8
| ^^7 <br> v8
| double-up 7th, <br> down 8ve
| dup 7th, <br> down 8ve
| ^^B <br> vC
| ^^B <br> vC
| B#/Cb
| B#/Cb
Line 312: Line 312:
== Triadic Harmony ==
== Triadic Harmony ==


One interesting feature of 21 EDO is the variety of triads it offers. Five of its intervals--228.6¢, 285.7¢, 342.9¢, 400¢, and 457.1¢ can function categorically as "3rds" for those whose ears are accustomed to diatonic interval categories, representing ultraminor, minor, neutral, major, and ultramajor 3rds respectively (or double-down, down, perfect, up and double-up). One can couple these with 21 EDO's narrow fifth to form five types of triad. In addition to these, there are a few noteworthy "altered" triads that stand out as representations to parts of the harmonic series:
One interesting feature of 21 EDO is the variety of triads it offers. Five of its intervals--228.6¢, 285.7¢, 342.9¢, 400¢, and 457.1¢ can function categorically as "3rds" for those whose ears are accustomed to diatonic interval categories, representing ultraminor, minor, neutral, major, and ultramajor 3rds respectively (or dud, down, perfect, up and dup). One can couple these with 21 EDO's narrow fifth to form five types of triad. In addition to these, there are a few noteworthy "altered" triads that stand out as representations to parts of the harmonic series:


{| class="wikitable center-1 center-2 center-3"
{| class="wikitable center-1 center-2 center-3"
Line 328: Line 328:
| C vE vvG
| C vE vvG
| Cv(vv5)
| Cv(vv5)
| C down, double-down five
| C down, dud five
|-
|-
| 0-4-11
| 0-4-11
Line 335: Line 335:
| C vvE vG
| C vvE vG
| Cvv(v5)
| Cvv(v5)
| C double-down, down five
| C dud, down five
|-
|-
| 0-6-11
| 0-6-11
Line 429: Line 429:
| C ^D ^E F
| C ^D ^E F
| Soft diatonic
| Soft diatonic
| C upperfect up-2
| C up, up-2
|-
|-
| 4, 4, 1
| 4, 4, 1
Line 435: Line 435:
| C ^D ^^E F
| C ^D ^^E F
| Intense diatonic
| Intense diatonic
| C up-2 &amp; 6, double-up-3 &amp; 7
| C dup, up-2 &amp; 6
|-
|-
| 5, 3, 1
| 5, 3, 1
Line 441: Line 441:
| C ^^D ^^E F
| C ^^D ^^E F
| Archytas chromatic
| Archytas chromatic
| C double-up-2, 3, 6 and 7
| C dup, dup-2
|-
|-
| 5, 2, 2
| 5, 2, 2
| (0)-286-400-(514)
| (0)-286-400-(514)
| C ^D ^E F
| C ^^D ^E F
| Weak chromatic
| Weak chromatic
| C double-up 2 &amp; 6, up-3 &amp; 7
| C up, dup 2 &amp; 6
|-
|-
| 6, 2, 1
| 6, 2, 1
Line 453: Line 453:
| C ^<span style="font-size: 90%; vertical-align: super;">3</span>D ^^E F
| C ^<span style="font-size: 90%; vertical-align: super;">3</span>D ^^E F
| Strong enharmonic
| Strong enharmonic
| C triple-up 2 &amp; 6, double-up 3 &amp; 7
| C dup, triple-up 2 &amp; 6
|-
|-
| 7, 1, 1
| 7, 1, 1
Line 459: Line 459:
| C ^<span style="font-size: 90%; vertical-align: super;">4</span>D ^^E F
| C ^<span style="font-size: 90%; vertical-align: super;">4</span>D ^^E F
| Pythagorean enharmonic
| Pythagorean enharmonic
| C quadruple-up 2 &amp; 6, double-up 3 &amp; 7
| C dup, quadruple-up 2 &amp; 6
|}
|}
&lowast;These names may not be correct in relating to the ancient Greek tetrachordal genera; please change them if you know better!
&lowast;These names may not be correct in relating to the ancient Greek tetrachordal genera; please change them if you know better!
Line 656: Line 656:
*''[http://www.ronsword.com/sounds/21_improv.mp3 Short Clip of 21-edo Acoustic]'' {{dead link}} by [[Ron_Sword|Ron Sword]]
*''[http://www.ronsword.com/sounds/21_improv.mp3 Short Clip of 21-edo Acoustic]'' {{dead link}} by [[Ron_Sword|Ron Sword]]
*''[http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3 Open tuning Drone Improvisation in 21-edo]'' {{dead link}} by Ron Sword
*''[http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3 Open tuning Drone Improvisation in 21-edo]'' {{dead link}} by Ron Sword
*''[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=933715 Anomalous Readings]'' [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+anomalousreadingsin21tet.mp3 (MP3)] by [[Andrew Heathwaite]]
*''[https://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=933715 Anomalous Readings]'' [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+anomalousreadingsin21tet.mp3 (MP3)] by [[Andrew Heathwaite]]
*''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/15%20-%2015.%2021%20octave.mp3 Comets Over Flatland 15]'' by [[Randy Winchester]]
*''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/15%20-%2015.%2021%20octave.mp3 Comets Over Flatland 15]'' by [[Randy Winchester]]
*''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 Comets Over Flatland 18]'' by Randy Winchester
*''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 Comets Over Flatland 18]'' by Randy Winchester
*''[http://www.reverbnation.com/ffffiale/song/17858773-lesatonale-ubriaco L'esatonale ubriaco (the drunk hexatonal), ALIENAMENTE]'' by [[Fabrizio_Fiale|Fabrizio Fulvio Fausto Fiale]]
*''[https://www.reverbnation.com/ffffiale/song/17858773-lesatonale-ubriaco L'esatonale ubriaco (the drunk hexatonal), ALIENAMENTE]'' by [[Fabrizio_Fiale|Fabrizio Fulvio Fausto Fiale]]
*''[[:File:The Angels' Library.mp3|The Angels' Library]]'' by [[Inthar]] in the Sarnathian (23233233) mode of 21edo [[5L 3s]] ([[:File:The Angels' Library Score.pdf|score]])
*''[[:File:The Angels' Library.mp3|The Angels' Library]]'' by [[Inthar]] in the Sarnathian (23233233) mode of 21edo [[5L 3s]] ([[:File:The Angels' Library Score.pdf|score]])


Retrieved from "https://en.xen.wiki/w/21edo"