User:Inthar/21edo: Difference between revisions
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| Line 24: | Line 24: | ||
| ^1 <br> vv2 | | ^1 <br> vv2 | ||
| up unison, <br> double-down 2nd | | up unison, <br> double-down 2nd | ||
| ^ | | C^ <br> Dvv | ||
| N#/Ob | | N#/Ob | ||
| Subminor 2nd | | Subminor 2nd | ||
| Line 32: | Line 32: | ||
| ^^1 <br> v2 | | ^^1 <br> v2 | ||
| double-up unison, <br> down 2nd | | double-up unison, <br> down 2nd | ||
| ^^ | | C^^ <br> Dv | ||
| O | | O | ||
| Minor 2nd | | Minor 2nd | ||
| Line 48: | Line 48: | ||
| ^2 <br> vv3 | | ^2 <br> vv3 | ||
| up 2nd, <br> double-down 3rd | | up 2nd, <br> double-down 3rd | ||
| ^ | | D^ <br> Evv | ||
| Pb | | Pb | ||
| Supermajor 2nd | | Supermajor 2nd | ||
| Line 56: | Line 56: | ||
| ^^2 <br> v3 | | ^^2 <br> v3 | ||
| double-up 2nd, <br> down 3rd | | double-up 2nd, <br> down 3rd | ||
| ^^ | | D^^ <br> Ev | ||
| P | | P | ||
| Minor 3rd | | Minor 3rd | ||
| Line 72: | Line 72: | ||
| ^3 <br> vv4 | | ^3 <br> vv4 | ||
| up 3rd, <br> double-down 4th | | up 3rd, <br> double-down 4th | ||
| ^ | | E^ <br> Fvv | ||
| Q | | Q | ||
| Major 3rd | | Major 3rd | ||
| Line 80: | Line 80: | ||
| ^^3 <br> v4 | | ^^3 <br> v4 | ||
| double-up 3rd, <br> down 4th | | double-up 3rd, <br> down 4th | ||
| ^^ | | E^^ <br> Fv | ||
| Q# | | Q# | ||
| Naiadic; Subfourth | | Naiadic; Subfourth | ||
| Line 96: | Line 96: | ||
| ^4 <br> vv5 | | ^4 <br> vv5 | ||
| up 4th, <br> double-down 5th | | up 4th, <br> double-down 5th | ||
| ^ | | F^ <br> Gvv | ||
| J | | J | ||
| Narrow Tritone | | Narrow Tritone | ||
| Line 104: | Line 104: | ||
| ^^4 <br> v5 | | ^^4 <br> v5 | ||
| double-up 4th, <br> down 5th | | double-up 4th, <br> down 5th | ||
| ^^ | | F^^ <br> Gv | ||
| J# | | J# | ||
| Wide Tritone | | Wide Tritone | ||
| Line 120: | Line 120: | ||
| ^5 <br> vv6 | | ^5 <br> vv6 | ||
| up 5th, <br> double-down 6th | | up 5th, <br> double-down 6th | ||
| ^ | | G^ <br> Avv | ||
| K | | K | ||
| Superfifth | | Superfifth | ||
| Line 128: | Line 128: | ||
| ^^5 <br> v6 | | ^^5 <br> v6 | ||
| double-up 5th, <br> down 6th | | double-up 5th, <br> down 6th | ||
| ^^ | | G^^ <br> Av | ||
| K#/Lb | | K#/Lb | ||
| Minor 6th | | Minor 6th | ||
| Line 144: | Line 144: | ||
| ^6 <br> vv7 | | ^6 <br> vv7 | ||
| up 6th, <br> double-down 7th | | up 6th, <br> double-down 7th | ||
| ^ | | A^ <br> Bvv | ||
| L# | | L# | ||
| Major 6th | | Major 6th | ||
| Line 152: | Line 152: | ||
| ^^6 <br> v7 | | ^^6 <br> v7 | ||
| double-up 6th, <br> down 7th | | double-up 6th, <br> down 7th | ||
| ^^ | | A^^ <br> Bv | ||
| Mb | | Mb | ||
| Subminor 7th | | Subminor 7th | ||
| Line 168: | Line 168: | ||
| ^7 <br> vv8 | | ^7 <br> vv8 | ||
| up 7th, <br> double-down 8ve | | up 7th, <br> double-down 8ve | ||
| ^ | | B^ <br> Cvv | ||
| M# | | M# | ||
| Major 7th | | Major 7th | ||
| Line 176: | Line 176: | ||
| ^^7 <br> v8 | | ^^7 <br> v8 | ||
| double-up 7th, <br> down 8ve | | double-up 7th, <br> down 8ve | ||
| ^^ | | B^^ <br> Cv | ||
| Nb | | Nb | ||
| Supermajor 7th | | Supermajor 7th | ||
Revision as of 06:34, 21 June 2021
I (Inthar) view 21edo in two ways:
- 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.
Intervals
| Degree | Cents | Up/down notation | Fox-Raven 5L3s Octotonic Notation |
Category name | ||
|---|---|---|---|---|---|---|
| 0 | 0.00 | 1 | unison | C | N | Unison |
| 1 | 57.14 | ^1 vv2 |
up unison, double-down 2nd |
C^ Dvv |
N#/Ob | Subminor 2nd |
| 2 | 114.29 | ^^1 v2 |
double-up unison, down 2nd |
C^^ Dv |
O | Minor 2nd |
| 3 | 171.43 | 2 | hepta 2nd | D | O# | Submajor 2nd |
| 4 | 228.57 | ^2 vv3 |
up 2nd, double-down 3rd |
D^ Evv |
Pb | Supermajor 2nd |
| 5 | 285.71 | ^^2 v3 |
double-up 2nd, down 3rd |
D^^ Ev |
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^ Fvv |
Q | Major 3rd |
| 8 | 457.14 | ^^3 v4 |
double-up 3rd, down 4th |
E^^ Fv |
Q# | Naiadic; Subfourth |
| 9 | 514.29 | 4 | hepta 4th | F | Jb | Perfect 4th |
| 10 | 571.43 | ^4 vv5 |
up 4th, double-down 5th |
F^ Gvv |
J | Narrow Tritone |
| 11 | 628.57 | ^^4 v5 |
double-up 4th, down 5th |
F^^ Gv |
J# | Wide Tritone |
| 12 | 685.71 | 5 | hepta 5th | G | Kb | Perfect 5th |
| 13 | 742.86 | ^5 vv6 |
up 5th, double-down 6th |
G^ Avv |
K | Superfifth |
| 14 | 800.00 | ^^5 v6 |
double-up 5th, down 6th |
G^^ Av |
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^ Bvv |
L# | Major 6th |
| 17 | 971.43 | ^^6 v7 |
double-up 6th, down 7th |
A^^ Bv |
Mb | Subminor 7th |
| 18 | 1028.57 | 7 | hepta 7th | B | M | Supraminor 7th |
| 19 | 1085.71 | ^7 vv8 |
up 7th, double-down 8ve |
B^ Cvv |
M# | Major 7th |
| 20 | 1142.86 | ^^7 v8 |
double-up 7th, down 8ve |
B^^ Cv |
Nb | Supermajor 7th |
| 21 | 1200.00 | 8 | 8ve | C | N | Octave |