20edo: Difference between revisions

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For a more complete list, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]]. Because many intervals have several names, many chords do too.
For a more complete list, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]]. Because many intervals have several names, many chords do too.
== Modes ==
20 tone equal modes:
{| class="wikitable"
|-
| 3 1 3 1 3 1 3 1 3 1
| Blackwood Major Decatonic [[5L_5s|(pentawood]], according to the [[MOSNamingScheme|MOS naming scheme]])
|-
| 1 3 1 3 1 3 1 3 1 3
| Blackwood Minor Decatonic (also pentawood)
|-
| 2 1 1 2 1 1 2 1 1 2 1 1
|Blackwood Major Pentadecatonic (also tri-equal pentadecatonic)
|-
|1 1 2 1 1 2 1 1 2 1 1 2
|Blackwood Diminished Pentadecatonic (also tri-equal pentadecatonic)
|-
|1 2 1 1 2 1 1 2 1 1 2 1
|Blackwood Minor Pentadecatonic (also tri-equal pentadecatonic)
|-
|2 3 2 2 2 3 2 2 2
| Balzano Nine-tone ([[2L_7s|balzano]], [[score9]]) <ref>[https://www.jstor.org/stable/833490?seq=1 Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach]</ref>
|-
|2 2 2 2 1 2 2 2 2 2 1
|Balzano Eleven-tone, Agmon Diatonic DS4, [[score11]]
|-
|2 2 2 3 2 2 2 3 2
|Balzano Nine-tone inverse (also balzano, score9)
|-
|1 2 2 2 2 2 1 2 2 2 2
|Balzano Eleven-tone inverse (also score11)
|-
| 2 3 2 3 2 3 2 3
| Octatonic ([[4L_4s|tetrawood]], according to the [[MOSNamingScheme|MOS naming scheme]])
|-
|3 2 3 2 3 2 3 2
|Diminished
|-
|2 2 1 2 2 1 2 2 1 2 2 1
|Dodecatonic
|-
|2 1 2 2 1 2 2 1 2 2 1 2
|Diminished
|-
|1 2 2 1 2 2 1 2 2 1 2 2
|Diminished
|-
|4 3 1 4 3 4 1
|Twenty-tone "Major"
|-
|4 1 3 4 1 4 3
|Twenty-tone "Minor"
|-
|2 2 1 2 1 2 2 1 2 2 2 1
|Twelve-tone Chromatic
|-
|2 2 2 2 1 2 2 2 2 1 2
|Zweifel Major
|-
| 2 1 2 2 2 2 2 1 2 2 2
| Zweifel Natural Minor
|-
|3 3 3 3 3 3 2
|Major quasi-equal Heptatonic ([[6L_1s|archaeotonic]])
|-
|3 2 3 3 3 3 3
|Minor quasi-equal Heptatonic (also archaeotonic)
|-
|2 2 1 2 1 2 1 2 1 2 1 2 1
|Major quasi-equal Triskaidecatonic (Grumpy triskaidecatonic)
|-
|2 1 2 1 2 1 2 1 2 1 2 1 2
|Minor quasi-equal Triskaidecatonic A
|-
|1 2 1 2 1 2 1 2 1 2 1 2 2
|Minor quasi-equal Triskaidecatonic B
|-
|2 1 2 1 2 1 2 1 2 1 2 2 1
|Minor quasi-equal Triskaidecatonic C
|-
|3 2 2 2 2 3 2 2 2
|Rothenberg Generalized Diatonic (also [[2L 7s|balzano]] or [[score9]])
|-
| 3 4 1 4 3 3 2
|Stearns Major
|-
|7 2 7 2 2
|[[score5]] [[2L_3s|pentic, classic pentatonic]]
|-
|5 2 2 5 2 2 2
|[[score7]] ([[2L_5s|mavila, anti-diatonic]])
|-
|4 3 1 4 2 2 4 1 3 4
|[[polymicrotonal|10-tone 4&7edo scale]])
|}
<references />


== Regular temperament properties ==
== Regular temperament properties ==
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* [[Lumatone mapping for 20edo]]
* [[Lumatone mapping for 20edo]]


== Books ==
== Modes ==
{{External Image| http://ronsword.com/images/20_tet_Coversm.jpg {{dead link}} }}
20 tone equal modes:
[http://www.ronsword.com/ "Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more] by [[Ron Sword]] {{dead link}}
 
{| class="wikitable"
|-
| 3 1 3 1 3 1 3 1 3 1
| Blackwood Major Decatonic [[5L_5s|(pentawood]], according to the [[MOSNamingScheme|MOS naming scheme]])
|-
| 1 3 1 3 1 3 1 3 1 3
| Blackwood Minor Decatonic (also pentawood)
|-
| 2 1 1 2 1 1 2 1 1 2 1 1
|Blackwood Major Pentadecatonic (also tri-equal pentadecatonic)
|-
|1 1 2 1 1 2 1 1 2 1 1 2
|Blackwood Diminished Pentadecatonic (also tri-equal pentadecatonic)
|-
|1 2 1 1 2 1 1 2 1 1 2 1
|Blackwood Minor Pentadecatonic (also tri-equal pentadecatonic)
|-
|2 3 2 2 2 3 2 2 2
| Balzano Nine-tone ([[2L_7s|balzano]], [[score9]]) <ref>[https://www.jstor.org/stable/833490?seq=1 Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach]</ref>
|-
|2 2 2 2 1 2 2 2 2 2 1
|Balzano Eleven-tone, Agmon Diatonic DS4, [[score11]]
|-
|2 2 2 3 2 2 2 3 2
|Balzano Nine-tone inverse (also balzano, score9)
|-
|1 2 2 2 2 2 1 2 2 2 2
|Balzano Eleven-tone inverse (also score11)
|-
| 2 3 2 3 2 3 2 3
| Octatonic ([[4L_4s|tetrawood]], according to the [[MOSNamingScheme|MOS naming scheme]])
|-
|3 2 3 2 3 2 3 2
|Diminished
|-
|2 2 1 2 2 1 2 2 1 2 2 1
|Dodecatonic
|-
|2 1 2 2 1 2 2 1 2 2 1 2
|Diminished
|-
|1 2 2 1 2 2 1 2 2 1 2 2
|Diminished
|-
|4 3 1 4 3 4 1
|Twenty-tone "Major"
|-
|4 1 3 4 1 4 3
|Twenty-tone "Minor"
|-
|2 2 1 2 1 2 2 1 2 2 2 1
|Twelve-tone Chromatic
|-
|2 2 2 2 1 2 2 2 2 1 2
|Zweifel Major
|-
| 2 1 2 2 2 2 2 1 2 2 2
| Zweifel Natural Minor
|-
|3 3 3 3 3 3 2
|Major quasi-equal Heptatonic ([[6L_1s|archaeotonic]])
|-
|3 2 3 3 3 3 3
|Minor quasi-equal Heptatonic (also archaeotonic)
|-
|2 2 1 2 1 2 1 2 1 2 1 2 1
|Major quasi-equal Triskaidecatonic (Grumpy triskaidecatonic)
|-
|2 1 2 1 2 1 2 1 2 1 2 1 2
|Minor quasi-equal Triskaidecatonic A
|-
|1 2 1 2 1 2 1 2 1 2 1 2 2
|Minor quasi-equal Triskaidecatonic B
|-
|2 1 2 1 2 1 2 1 2 1 2 2 1
|Minor quasi-equal Triskaidecatonic C
|-
|3 2 2 2 2 3 2 2 2
|Rothenberg Generalized Diatonic (also [[2L 7s|balzano]] or [[score9]])
|-
| 3 4 1 4 3 3 2
|Stearns Major
|-
|7 2 7 2 2
|[[score5]] [[2L_3s|pentic, classic pentatonic]]
|-
|5 2 2 5 2 2 2
|[[score7]] ([[2L_5s|mavila, anti-diatonic]])
|-
|4 3 1 4 2 2 4 1 3 4
|[[polymicrotonal|10-tone 4&7edo scale]])
|}
<references />


== Music ==
== Music ==
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; [[User:Frostburn|Frostburn]]
; [[User:Frostburn|Frostburn]]
* [https://youtu.be/nlF6al8MEuk ''Galloping Nightmares''] (2024) - synth metal
* [https://youtu.be/nlF6al8MEuk ''Galloping Nightmares''] (2024) - synth metal
== Books ==
{{External Image| http://ronsword.com/images/20_tet_Coversm.jpg {{dead link}} }}
[http://www.ronsword.com/ "Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more] by [[Ron Sword]] {{dead link}}


[[Category:Listen]]
[[Category:Listen]]
[[Category:Twentuning]]
[[Category:Twentuning]]
[[Category:Todo:add rank 2 temperaments table]]
[[Category:Todo:add rank 2 temperaments table]]