User:Inthar/21edo: Difference between revisions

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# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals.  
# Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals.  
# As a [[MOS]] system, its most interesting MOS scales are [[soft]] [[oneirotonic]] and [[superhard]] [[orwelloid]].
# As a [[MOS]] system, its most interesting MOS scales are [[soft]] [[oneirotonic]] and [[superhard]] [[orwelloid]].
== Intervals ==
{| class="wikitable center-all right-3 right-5"
|-
! Degree
! Cents
! colspan="3" | [[Ups and Downs Notation|Up/down notation]]
! Fox-Raven <br/> 5L3s Octotonic <br/> Notation
! Category name
|-
| 0
| 0.00
| 1
| unison
| C
| N
|-
| 1
| 57.14
| ^1 <br> vv2
| up unison, <br> double-down 2nd
| ^C <br> vvD
| N#/Ob
| Subminor 2nd
|-
| 2
| 114.29
| ^^1 <br> v2
| double-up unison, <br> down 2nd
| ^^C <br> vD
| O
| Minor 2nd
|-
| 3
| 171.43
| 2
| hepta 2nd
| D
| O#
| Submajor 2nd
|-
| 4
| 228.57
| ^2 <br> vv3
| up 2nd, <br> double-down 3rd
| ^D <br> vvE
| Pb
| Supermajor 2nd
|-
| 5
| 285.71
| ^^2 <br> v3
| double-up 2nd, <br> down 3rd
| ^^D <br> vE
| P
| Minor 3rd
|-
| 6
| 342.86
| 3
| hepta 3rd
| E
| P#/Qb
| Neutral 3rd
|-
| 7
| 400.00
| ^3 <br> vv4
| up 3rd, <br> double-down 4th
| ^E <br> vvF
| Q
| Major 3rd
|-
| 8
| 457.14
| ^^3 <br> v4
| double-up 3rd, <br> down 4th
| ^^E <br> vF
| Q#
| Naiadic; Subfourth
|-
| 9
| 514.29
| 4
| hepta 4th
| F
| Jb
| Perfect 4th
|-
| 10
| 571.43
| ^4 <br> vv5
| up 4th, <br> double-down 5th
| ^F <br> vvG
| J
| Narrow Tritone
|-
| 11
| 628.57
| ^^4 <br> v5
| double-up 4th, <br> down 5th
| ^^F <br> vG
| J#
| Wide Tritone
|-
| 12
| 685.71
| 5
| hepta 5th
| G
| Kb
| Perfect 5th
|-
| 13
| 742.86
| ^5 <br> vv6
| up 5th, <br> double-down 6th
| ^G <br> vvA
| K
| Superfifth
|-
| 14
| 800.00
| ^^5 <br> v6
| double-up 5th, <br> down 6th
| ^^G <br> vA
| K#/Lb
| Minor 6th
|-
| 15
| 857.14
| 6
| hepta 6th
| A
| L
| Neutral 6th
|-
| 16
| 914.29
| ^6 <br> vv7
| up 6th, <br> double-down 7th
| ^A <br> vvB
| L#
| Major 6th
|-
| 17
| 971.43
| ^^6 <br> v7
| double-up 6th, <br> down 7th
| ^^A <br> vB
| Mb
| Subminor 7th
|-
| 18
| 1028.57
| 7
| hepta 7th
| B
| M
| Supraminor 7th
|-
| 19
| 1085.71
| ^7 <br> vv8
| up 7th, <br> double-down 8ve
| ^B <br> vvC
| M#
| Major 7th
|-
| 20
| 1142.86
| ^^7 <br> v8
| double-up 7th, <br> down 8ve
| ^^B <br> vC
| Nb
| Supermajor 7th
|-
| 21
| 1200.00
| 8
| 8ve
| C
| N
| Octave
|}

Revision as of 06:30, 21 June 2021

I (Inthar) view 21edo in two ways:

  1. Viewed more traditionally, it's a "color system" with traditional triadic harmony, 7edo circles of fifths, and many interesting colors for intervals.
  2. As a MOS system, its most interesting MOS scales are soft oneirotonic and superhard orwelloid.

Intervals

Degree Cents Up/down notation Fox-Raven
5L3s Octotonic
Notation 		Category name
0 0.00 1 unison C N
1 57.14 ^1
vv2 		up unison,
double-down 2nd 		^C
vvD 		N#/Ob Subminor 2nd
2 114.29 ^^1
v2 		double-up unison,
down 2nd 		^^C
vD 		O Minor 2nd
3 171.43 2 hepta 2nd D O# Submajor 2nd
4 228.57 ^2
vv3 		up 2nd,
double-down 3rd 		^D
vvE 		Pb Supermajor 2nd
5 285.71 ^^2
v3 		double-up 2nd,
down 3rd 		^^D
vE 		P Minor 3rd
6 342.86 3 hepta 3rd E P#/Qb Neutral 3rd
7 400.00 ^3
vv4 		up 3rd,
double-down 4th 		^E
vvF 		Q Major 3rd
8 457.14 ^^3
v4 		double-up 3rd,
down 4th 		^^E
vF 		Q# Naiadic; Subfourth
9 514.29 4 hepta 4th F Jb Perfect 4th
10 571.43 ^4
vv5 		up 4th,
double-down 5th 		^F
vvG 		J Narrow Tritone
11 628.57 ^^4
v5 		double-up 4th,
down 5th 		^^F
vG 		J# Wide Tritone
12 685.71 5 hepta 5th G Kb Perfect 5th
13 742.86 ^5
vv6 		up 5th,
double-down 6th 		^G
vvA 		K Superfifth
14 800.00 ^^5
v6 		double-up 5th,
down 6th 		^^G
vA 		K#/Lb Minor 6th
15 857.14 6 hepta 6th A L Neutral 6th
16 914.29 ^6
vv7 		up 6th,
double-down 7th 		^A
vvB 		L# Major 6th
17 971.43 ^^6
v7 		double-up 6th,
down 7th 		^^A
vB 		Mb Subminor 7th
18 1028.57 7 hepta 7th B M Supraminor 7th
19 1085.71 ^7
vv8 		up 7th,
double-down 8ve 		^B
vvC 		M# Major 7th
20 1142.86 ^^7
v8 		double-up 7th,
down 8ve 		^^B
vC 		Nb Supermajor 7th
21 1200.00 8 8ve C N Octave
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