User:Zhenlige/Chromatic notation: Difference between revisions
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== Intervals == | == Intervals == | ||
The names according to [[quasi-diatonic MOS notation]] are not intuitional, so different names are given here. “Sem” stands for “'''sem'''itone”. [[12edo]] diatonic interval names can also be used for representing degrees, with A4 and d5 merged into “tritone”. | The names according to [[quasi-diatonic MOS notation]] are not intuitional, so different names are given here. “Sem” stands for “'''sem'''itone”. [[12edo]] diatonic interval names can also be used for representing degrees, with A4 and d5 merged into “tritone”. Note that diatonic major is always wide and diatonic minor is always narrow. | ||
{| class="wikitable" | {| class="wikitable" | ||
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! colspan="2" | Steps | ! colspan="2" | Steps | ||
! rowspan="2" | 29edo<br>tuning<br>(steps) | ! rowspan="2" | 29edo<br>tuning<br>(steps) | ||
! rowspan="2" | Equivalent<br>diatonic<br> | ! rowspan="2" | Equivalent<br>diatonic<br>degree | ||
! colspan="2" | Approximate ratios | ! colspan="2" | Approximate ratios | ||
|- | |- | ||
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! [[schismatic]] !! additional<br>in [[garibaldi]] | ! [[schismatic]] !! additional<br>in [[garibaldi]] | ||
|- | |- | ||
| Unison<br> | | Unison<br>0-tone<br>0-sem | ||
| Unison | | Unison | ||
|Perfect|| | |Perfect|| P0s / P1 || 0 || 0 || 0 || '''[[1/1|P1]]''' || [[1/1]] || | ||
|- | |- | ||
| rowspan="2" | Semitone<br>Sem | | rowspan="2" | Semitone<br>Sem / 1-sem | ||
| rowspan="2" | Minor 2nd | | rowspan="2" | Minor 2nd | ||
| | |Narrow|| n1s / nm2 || 0 || 1 || 2 || '''m2''' || [[135/128]], [[256/243]] || [[21/20]] | ||
|- | |- | ||
| | |Wide|| W1s / Wm2 || 1 || 0 || 3 || A1 || [[16/15]] || [[15/14]] | ||
|- | |- | ||
| rowspan="2" | Tone | | rowspan="2" | Tone / 1-tone<br>2-sem | ||
| rowspan="2" | Major 2nd | | rowspan="2" | Major 2nd | ||
| | |Narrow|| n2s / nM2 || 0 || 2 || 4 || d3 || [[10/9]] || | ||
|- | |- | ||
| | |Wide|| W2s / WM2 || 1 || 1 || 5 || '''M2''' || [[9/8]] || | ||
|- | |- | ||
| rowspan="2" | | | rowspan="2" | 3-sem | ||
| rowspan="2" | Minor 3rd | | rowspan="2" | Minor 3rd | ||
| | |Narrow|| n3s / nm3 || 1 || 2 || 7 || '''m3''' || [[32/27]] || | ||
|- | |- | ||
| | |Wide|| W3s / Wm3 || 2 || 1 || 8 || A2 || [[6/5]] || | ||
|- | |- | ||
| rowspan="2" | Ditone / 2-tone<br> | | rowspan="2" | Ditone / 2-tone<br>4-sem | ||
| rowspan="2" | Major 3rd | | rowspan="2" | Major 3rd | ||
| | |Narrow|| n4s / nM3 || 1 || 3 || 9 || d4 || [[5/4]] || [[56/45]] | ||
|- | |- | ||
| | |Wide|| W4s / WM3 || 2 || 2 || 10 || '''M3''' || [[81/64]] || [[80/63]], [[63/50]] | ||
|- | |- | ||
| rowspan="2" | | | rowspan="2" | 5-sem | ||
| rowspan="2" | Fourth | | rowspan="2" | Fourth | ||
|Perfect|| | |Perfect|| P5s / P4 || 2 || 3 || 12 || '''P4''' || [[4/3]] || | ||
|- | |- | ||
|Augmented|| | |Augmented|| A5s / A4 || 3 || 2 || 13 || A3 || [[27/20]] || | ||
|- | |- | ||
| rowspan="2" | [[Tritone]] / 3-tone<br> | | rowspan="2" | [[Tritone]] / 3-tone<br>6-sem | ||
| rowspan="2" | Tritone | | rowspan="2" | Tritone | ||
| | |Narrow|| n6s / nT || 2 || 4 || 14 || '''d5''' || [[45/32]] || [[7/5]] | ||
|- | |- | ||
| | |Wide|| W6s / WT || 3 || 3 || 15 || '''A4''' || [[64/45]] || [[10/7]] | ||
|- | |- | ||
| rowspan="2" | | | rowspan="2" | 7-sem | ||
| rowspan="2" | Fifth | | rowspan="2" | Fifth | ||
|Diminished|| | |Diminished|| d7s / d5 || 2 || 5 || 16 || d6 || [[40/27]] || | ||
|- | |- | ||
|Perfect|| | |Perfect|| P7s / P5 || 3 || 4 || 17 || '''[[Perfect fifth (diatonic interval category)|P5]]''' || [[3/2]] || | ||
|- | |- | ||
| rowspan="2" | Tetratone / 4-tone<br> | | rowspan="2" | Tetratone / 4-tone<br>8-sem | ||
| rowspan="2" | Minor 6th | | rowspan="2" | Minor 6th | ||
| | |Narrow|| n8s / nm6 || 3 || 5 || 19 || '''m6''' || [[128/81]] || [[63/40]], [[100/63]] | ||
|- | |- | ||
| | |Wide|| W8s / Wm6 || 4 || 4 || 20 || A5 || [[8/5]] || [[45/28]] | ||
|- | |- | ||
| rowspan="2" | | | rowspan="2" | 9-sem | ||
| rowspan="2" | Major 6th | | rowspan="2" | Major 6th | ||
| | |Narrow|| n9s / nM6 || 3 || 6 || 21 || d7 || [[5/3]] || | ||
|- | |- | ||
| | |Wide|| W9s / WM6 || 4 || 5 || 22 || '''M6''' || [[27/16]] || | ||
|- | |- | ||
| rowspan="2" | Pentatone / 5-tone<br> | | rowspan="2" | Pentatone / 5-tone<br>10-sem | ||
| rowspan="2" | Minor 7th | | rowspan="2" | Minor 7th | ||
| | |Narrow|| n10s / nm7 || 4 || 6 || 24 || '''m7''' || [[16/9]] || | ||
|- | |- | ||
| | |Wide|| W10s / Wm7 || 5 || 5 || 25 || A6 || [[9/5]] || | ||
|- | |- | ||
| rowspan="2" | | | rowspan="2" | 11-sem | ||
| rowspan="2" | Major 7th | | rowspan="2" | Major 7th | ||
| | |Narrow|| n11s / nM7 || 4 || 7 || 26 || d8 || [[15/8]] || [[28/15]] | ||
|- | |- | ||
| | |Wide|| W11s / WM7 || 5 || 6 || 27 || '''M7''' || [[243/128]], [[256/135]] || [[40/21]] | ||
|- | |- | ||
| | | Hexatone / 6-tone<br>12-sem | ||
| Octave | | Octave | ||
|Perfect|| | |Perfect|| P12s / P8 || 5 || 7 || 29 || '''[[2/1|P8]]''' || [[2/1]] || | ||
|} | |} | ||