17edo: Difference between revisions
Reduce cent values to one decimal place, per discussion on Discord. Misc. cleanup and style improvements |
Relegate 3L 4s notation to the notation section |
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== Intervals == | == Intervals == | ||
{{See also|17edo solfege}} | {{See also| 17edo solfege }} | ||
{| class="wikitable center-all right-2 left-3" | {| class="wikitable center-all right-2 left-3" | ||
|- | |- | ||
Line 37: | Line 38: | ||
! colspan="3" | [[Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and ^d2) | ! colspan="3" | [[Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and ^d2) | ||
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U {{=}} 1)}} | ! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U {{=}} 1)}} | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| 1/1 | | [[1/1]] | ||
| Unison | | Unison | ||
| D | | D | ||
Line 49: | Line 49: | ||
| unison | | unison | ||
| P1 | | P1 | ||
| D | | D | ||
|- | |- | ||
Line 64: | Line 62: | ||
| U1, m2 | | U1, m2 | ||
| UD, Eb | | UD, Eb | ||
|- | |- | ||
| 2 | | 2 | ||
Line 78: | Line 74: | ||
| N2 | | N2 | ||
| UEb, uE | | UEb, uE | ||
|- | |- | ||
| 3 | | 3 | ||
Line 91: | Line 85: | ||
| major 2nd | | major 2nd | ||
| M2 | | M2 | ||
| E | | E | ||
|- | |- | ||
Line 106: | Line 98: | ||
| m3 | | m3 | ||
| F | | F | ||
|- | |- | ||
| 5 | | 5 | ||
Line 120: | Line 110: | ||
| N3 | | N3 | ||
| UF, uF# | | UF, uF# | ||
|- | |- | ||
| 6 | | 6 | ||
Line 133: | Line 121: | ||
| major 3rd | | major 3rd | ||
| M3 | | M3 | ||
| F# | | F# | ||
|- | |- | ||
Line 147: | Line 133: | ||
| perfect 4th | | perfect 4th | ||
| P4 | | P4 | ||
| G | | G | ||
|- | |- | ||
Line 162: | Line 146: | ||
| U4/N4 | | U4/N4 | ||
| UG | | UG | ||
|- | |- | ||
| 9 | | 9 | ||
Line 176: | Line 158: | ||
| u5/N5 | | u5/N5 | ||
| uA | | uA | ||
|- | |- | ||
| 10 | | 10 | ||
Line 189: | Line 169: | ||
| perfect 5th | | perfect 5th | ||
| P5 | | P5 | ||
| A | | A | ||
|- | |- | ||
Line 203: | Line 181: | ||
| minor 6th | | minor 6th | ||
| m6 | | m6 | ||
| Bb | | Bb | ||
|- | |- | ||
Line 218: | Line 194: | ||
| N6 | | N6 | ||
| UBb, uB | | UBb, uB | ||
|- | |- | ||
| 13 | | 13 | ||
Line 232: | Line 206: | ||
| M6 | | M6 | ||
| B | | B | ||
|- | |- | ||
| 14 | | 14 | ||
Line 246: | Line 218: | ||
| m7 | | m7 | ||
| C | | C | ||
|- | |- | ||
| 15 | | 15 | ||
Line 260: | Line 230: | ||
| N7 | | N7 | ||
| UC, uC# | | UC, uC# | ||
|- | |- | ||
| 16 | | 16 | ||
Line 274: | Line 242: | ||
| M7, u8 | | M7, u8 | ||
| C#, uD | | C#, uD | ||
|- | |- | ||
| 17 | | 17 | ||
Line 287: | Line 253: | ||
| octave | | octave | ||
| P8 | | P8 | ||
| D | | D | ||
|} | |} | ||
Line 430: | Line 394: | ||
[[File:17edo Sagittal.png|800px]] | [[File:17edo Sagittal.png|800px]] | ||
=== 3L 4s (mosh) notation === | |||
The notation of Neutral[7]. The generator is the perfect 3rd. Notes are denoted as {{nowrap|sLsLsLs {{=}} DEFGABCD}}, and raising and lowering by a chroma {{nowrap|(L − s)}}, 1 edostep in this instance, is denoted by ♯ and ♭. | |||
{| class="wikitable center-all right-2 left-4 left-5 mw-collapsible mw-collapsed" | |||
|- | |||
! # | |||
! Cents | |||
! Note | |||
! Name | |||
! Associated ratios | |||
|- | |||
| 0 | |||
| 0.0 | |||
| D | |||
| Perfect 1sn | |||
| 1/1 | |||
|- | |||
| 1 | |||
| 70.6 | |||
| D# | |||
| Augmented 1sn | |||
| 33/32 | |||
|- | |||
| 2 | |||
| 141.2 | |||
| Eb | |||
| Minor 2nd | |||
| 12/11 | |||
|- | |||
| 3 | |||
| 211.8 | |||
| E | |||
| Major 2nd | |||
| 9/8 | |||
|- | |||
| 4 | |||
| 282.4 | |||
| Fb | |||
| Diminished 3rd | |||
| 32/27 | |||
|- | |||
| 5 | |||
| 352.9 | |||
| F | |||
| Perfect 3rd | |||
| 11/9, 27/22 | |||
|- | |||
| 6 | |||
| 423.5 | |||
| F# | |||
| Augmented 3rd | |||
| 81/64 | |||
|- | |||
| 7 | |||
| 494.1 | |||
| G | |||
| Minor 4th | |||
| 4/3 | |||
|- | |||
| 8 | |||
| 564.7 | |||
| G# | |||
| Major 4th | |||
| 11/8 | |||
|- | |||
| 9 | |||
| 635.3 | |||
| Ab | |||
| Minor 5th | |||
| 16/11 | |||
|- | |||
| 10 | |||
| 705.9 | |||
| A | |||
| Major 5th | |||
| 3/2 | |||
|- | |||
| 11 | |||
| 776.5 | |||
| Bb | |||
| Diminished 6th | |||
| 128/81 | |||
|- | |||
| 12 | |||
| 847.1 | |||
| B | |||
| Perfect 6th | |||
| 18/11, 44/27 | |||
|- | |||
| 13 | |||
| 917.6 | |||
| B# | |||
| Augmented 6th | |||
| 27/16 | |||
|- | |||
| 14 | |||
| 988.2 | |||
| Cb | |||
| Minor 7th | |||
| 16/9 | |||
|- | |||
| 15 | |||
| 1058.8 | |||
| C | |||
| Major 7th | |||
| 11/6 | |||
|- | |||
| 16 | |||
| 1129.4 | |||
| Db | |||
| Diminished 8ve | |||
| 64/33 | |||
|- | |||
| 17 | |||
| 1200.0 | |||
| D | |||
| Perfect 8ve | |||
| 2/1 | |||
|} | |||
== Approximation to JI == | == Approximation to JI == |