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>interval
! 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>Zero-tone<br>Zero-sem
| Unison<br>0-tone<br>0-sem
| Unison
| Unison
|Perfect|| PU / P0s || 0 || 0 || 0 || [[1/1|P1]] || [[1/1]] ||
|Perfect|| P0s / P1 || 0 || 0 || 0 || '''[[1/1|P1]]''' || [[1/1]] ||
|-
|-
| rowspan="2" | Semitone<br>Sem / Monosem / 1-sem
| rowspan="2" | Semitone<br>Sem / 1-sem
| rowspan="2" | Minor 2nd
| rowspan="2" | Minor 2nd
|Minor|| ms / m1s || 0 || 1 || 2 || m2 || [[135/128]], [[256/243]] || [[21/20]]
|Narrow|| n1s / nm2 || 0 || 1 || 2 || '''m2''' || [[135/128]], [[256/243]] || [[21/20]]
|-
|-
|Major|| Ms / M1s || 1 || 0 || 3 || A1 || [[16/15]] || [[15/14]]
|Wide|| W1s / Wm2 || 1 || 0 || 3 || A1 || [[16/15]] || [[15/14]]
|-
|-
| rowspan="2" | Tone<br>Monotone / 1-tone<br>Disem / 2-sem
| rowspan="2" | Tone / 1-tone<br>2-sem
| rowspan="2" | Major 2nd
| rowspan="2" | Major 2nd
|Minor|| mt / m1t / m2s || 0 || 2 || 4 || d3 || [[10/9]] ||
|Narrow|| n2s / nM2 || 0 || 2 || 4 || d3 || [[10/9]] ||
|-
|-
|Major|| Mt / M1t / M2s || 1 || 1 || 5 || M2 || [[9/8]] ||
|Wide|| W2s / WM2 || 1 || 1 || 5 || '''M2''' || [[9/8]] ||
|-
|-
| rowspan="2" | Sesquitone<br>Trisem / 3-sem
| rowspan="2" | 3-sem
| rowspan="2" | Minor 3rd
| rowspan="2" | Minor 3rd
|Minor|| mS / m3s || 1 || 2 || 7 || m3 || [[32/27]] ||
|Narrow|| n3s / nm3 || 1 || 2 || 7 || '''m3''' || [[32/27]] ||
|-
|-
|Major|| MS / M3s || 2 || 1 || 8 || A2 || [[6/5]] ||
|Wide|| W3s / Wm3 || 2 || 1 || 8 || A2 || [[6/5]] ||
|-
|-
| rowspan="2" | Ditone / 2-tone<br>Tetrasem / 4-sem
| rowspan="2" | Ditone / 2-tone<br>4-sem
| rowspan="2" | Major 3rd
| rowspan="2" | Major 3rd
|Minor|| m2t / m4s || 1 || 3 || 9 || d4 || [[5/4]] || [[56/45]]
|Narrow|| n4s / nM3 || 1 || 3 || 9 || d4 || [[5/4]] || [[56/45]]
|-
|-
|Major|| M2t / M4s || 2 || 2 || 10 || M3 || [[81/64]] || [[80/63]], [[63/50]]
|Wide|| W4s / WM3 || 2 || 2 || 10 || '''M3''' || [[81/64]] || [[80/63]], [[63/50]]
|-
|-
| rowspan="2" | Pentasem / 5-sem
| rowspan="2" | 5-sem
| rowspan="2" | Fourth
| rowspan="2" | Fourth
|Perfect|| Pf / P5s || 2 || 3 || 12 || P4 || [[4/3]] ||
|Perfect|| P5s / P4 || 2 || 3 || 12 || '''P4''' || [[4/3]] ||
|-
|-
|Augmented|| Af / A5s || 3 || 2 || 13 || A3 || [[27/20]] ||
|Augmented|| A5s / A4 || 3 || 2 || 13 || A3 || [[27/20]] ||
|-
|-
| rowspan="2" | [[Tritone]] / 3-tone<br>Hexasem / 6-sem
| rowspan="2" | [[Tritone]] / 3-tone<br>6-sem
| rowspan="2" | Tritone
| rowspan="2" | Tritone
|Minor|| m3t / m6s || 2 || 4 || 14 || d5 || [[45/32]] || [[7/5]]
|Narrow|| n6s / nT || 2 || 4 || 14 || '''d5''' || [[45/32]] || [[7/5]]
|-
|-
|Major|| M3t / M6s || 3 || 3 || 15 || A4 || [[64/45]] || [[10/7]]
|Wide|| W6s / WT || 3 || 3 || 15 || '''A4''' || [[64/45]] || [[10/7]]
|-
|-
| rowspan="2" | Heptasem / 7-sem
| rowspan="2" | 7-sem
| rowspan="2" | Fifth
| rowspan="2" | Fifth
|Diminished|| dF / d7s || 2 || 5 || 16 || d6 || [[40/27]] ||
|Diminished|| d7s / d5 || 2 || 5 || 16 || d6 || [[40/27]] ||
|-
|-
|Perfect|| PF / P7s || 3 || 4 || 17 || [[Perfect fifth (diatonic interval category)|P5]] || [[3/2]] ||
|Perfect|| P7s / P5 || 3 || 4 || 17 || '''[[Perfect fifth (diatonic interval category)|P5]]''' || [[3/2]] ||
|-
|-
| rowspan="2" | Tetratone / 4-tone<br>Octasem / 8-sem
| rowspan="2" | Tetratone / 4-tone<br>8-sem
| rowspan="2" | Minor 6th
| rowspan="2" | Minor 6th
|Minor|| m4t / m8s || 3 || 5 || 19 || m6 || [[128/81]] || [[63/40]], [[100/63]]
|Narrow|| n8s / nm6 || 3 || 5 || 19 || '''m6''' || [[128/81]] || [[63/40]], [[100/63]]
|-
|-
|Major|| M4t / M8s || 4 || 4 || 20 || A5 || [[8/5]] || [[45/28]]
|Wide|| W8s / Wm6 || 4 || 4 || 20 || A5 || [[8/5]] || [[45/28]]
|-
|-
| rowspan="2" | Nonasem / 9-sem
| rowspan="2" | 9-sem
| rowspan="2" | Major 6th
| rowspan="2" | Major 6th
|Minor|| m9s || 3 || 6 || 21 || d7 || [[5/3]] ||
|Narrow|| n9s / nM6 || 3 || 6 || 21 || d7 || [[5/3]] ||
|-
|-
|Major|| M9s || 4 || 5 || 22 || M6 || [[27/16]] ||
|Wide|| W9s / WM6 || 4 || 5 || 22 || '''M6''' || [[27/16]] ||
|-
|-
| rowspan="2" | Pentatone / 5-tone<br>Decasem / 10-sem
| rowspan="2" | Pentatone / 5-tone<br>10-sem
| rowspan="2" | Minor 7th
| rowspan="2" | Minor 7th
|Minor|| m5t / m10s || 4 || 6 || 24 || m7 || [[16/9]] ||
|Narrow|| n10s / nm7 || 4 || 6 || 24 || '''m7''' || [[16/9]] ||
|-
|-
|Major|| M5t / M10s || 5 || 5 || 25 || A6 || [[9/5]] ||
|Wide|| W10s / Wm7 || 5 || 5 || 25 || A6 || [[9/5]] ||
|-
|-
| rowspan="2" | Undecasem / 11-sem
| rowspan="2" | 11-sem
| rowspan="2" | Major 7th
| rowspan="2" | Major 7th
|Minor|| m11s || 4 || 7 || 26 || d8 || [[15/8]] || [[28/15]]
|Narrow|| n11s / nM7 || 4 || 7 || 26 || d8 || [[15/8]] || [[28/15]]
|-
|-
|Major|| M11s || 5 || 6 || 27 || M7 || [[243/128]], [[256/135]] || [[40/21]]
|Wide|| W11s / WM7 || 5 || 6 || 27 || '''M7''' || [[243/128]], [[256/135]] || [[40/21]]
|-
|-
| Octave / Ditave / Period<br>Hexatone / 6-tone<br>Dodecasem / 12-sem
| Hexatone / 6-tone<br>12-sem
| Octave
| Octave
|Perfect|| PO / P6t / P12s || 5 || 7 || 29 || [[2/1|P8]] || [[2/1]] ||
|Perfect|| P12s / P8 || 5 || 7 || 29 || '''[[2/1|P8]]''' || [[2/1]] ||
|}
|}