19edo: Difference between revisions
→Other scales: Tonality diamonds. |
→Intervals: Made the main interval table more like the other edos. Deleted the cents error of the JI ratios. (Most of that info is in the JI approximation section anyway.) |
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| Line 47: | Line 47: | ||
! [[Cent]]s | ! [[Cent]]s | ||
! [[Interval region|Interval Region]] | ! [[Interval region|Interval Region]] | ||
! Approximated [[Just intonation|JI]] Intervals* | ! Approximated [[Just intonation|JI]] Intervals* | ||
! [[Solfege]] | ! [[Solfege]] | ||
! Dodecatonic Notation | ! Dodecatonic Notation | ||
| Line 54: | Line 54: | ||
| 0.00 | | 0.00 | ||
| Unison (prime) | | Unison (prime) | ||
| [[1/1]] | | [[1/1]] | ||
| Do | | Do | ||
| P1 | | P1 | ||
| Line 61: | Line 61: | ||
| 63.16 | | 63.16 | ||
| Augmented unison | | Augmented unison | ||
| [[25/24]] | | [[25/24]] [[28/27]] [[26/25]] | ||
| Di/Ro | | Di/Ro | ||
| A1, m2 | | A1, m2 | ||
| Line 68: | Line 68: | ||
| 126.32 | | 126.32 | ||
| Minor second | | Minor second | ||
| [[15/14]] | | [[15/14]] [[16/15]] [[13/12]] [[14/13]] | ||
| Ra | | Ra | ||
| M2, m3 | | M2, m3 | ||
| Line 75: | Line 75: | ||
| 189.47 | | 189.47 | ||
| Major second | | Major second | ||
| [[9/8]] | | [[9/8]] [[10/9]] | ||
| Re | | Re | ||
| M3 | | M3 | ||
| Line 82: | Line 82: | ||
| 252.63 | | 252.63 | ||
| Diminished third | | Diminished third | ||
| [[7/6]] | | [[7/6]] [[8/7]] [[15/13]] | ||
| Ri/Ma | | Ri/Ma | ||
| m4, A3 | | m4, A3 | ||
| Line 89: | Line 89: | ||
| 315.79 | | 315.79 | ||
| Minor third | | Minor third | ||
| [[6/5]] | | [[6/5]] | ||
| Me | | Me | ||
| M4, m5 | | M4, m5 | ||
| Line 96: | Line 96: | ||
| 378.95 | | 378.95 | ||
| Major third | | Major third | ||
| [[5/4]] | | [[5/4]] [[16/13]] [[56/45]] | ||
| Mi | | Mi | ||
| M5 | | M5 | ||
| Line 103: | Line 103: | ||
| 442.11 | | 442.11 | ||
| Augmented third | | Augmented third | ||
| [[32/25]] | | [[32/25]] [[9/7]] [[13/10]] | ||
| Mo/Fe | | Mo/Fe | ||
| A5, d6 | | A5, d6 | ||
| Line 110: | Line 110: | ||
| 505.26 | | 505.26 | ||
| Perfect fourth | | Perfect fourth | ||
| [[4/3]] | | [[4/3]] [[75/56]] | ||
| Fa | | Fa | ||
| P6 | | P6 | ||
| Line 117: | Line 117: | ||
| 568.42 | | 568.42 | ||
| Augmented fourth<br>(Small [[tritone]]) | | Augmented fourth<br>(Small [[tritone]]) | ||
| [[25/18]] | | [[25/18]] [[7/5]] [[18/13]] [[11/8]] | ||
| Fi | | Fi | ||
| A6, m7 | | A6, m7 | ||
| Line 124: | Line 124: | ||
| 631.58 | | 631.58 | ||
| Diminished fifth<br>(Large [[tritone]]) | | Diminished fifth<br>(Large [[tritone]]) | ||
| [[36/25]] | | [[36/25]] [[10/7]] [[13/9]] [[16/11]] | ||
| Se | | Se | ||
| M7, d8 | | M7, d8 | ||
| Line 131: | Line 131: | ||
| 694.74 | | 694.74 | ||
| Perfect fifth | | Perfect fifth | ||
| [[3/2]] | | [[3/2]] [[112/75]] | ||
| So | | So | ||
| P8 | | P8 | ||
| Line 138: | Line 138: | ||
| 757.89 | | 757.89 | ||
| Augmented fifth | | Augmented fifth | ||
| [[25/16]] | | [[25/16]] [[14/9]] [[20/13]] | ||
| Si/Lo | | Si/Lo | ||
| A8, m9 | | A8, m9 | ||
| Line 145: | Line 145: | ||
| 821.05 | | 821.05 | ||
| Minor sixth | | Minor sixth | ||
| [[8/5]] | | [[8/5]] [[13/8]] [[45/28]] | ||
| Le | | Le | ||
| M9, m10 | | M9, m10 | ||
| Line 152: | Line 152: | ||
| 884.21 | | 884.21 | ||
| Major sixth | | Major sixth | ||
| [[5/3]] | | [[5/3]] | ||
| La | | La | ||
| M10 | | M10 | ||
| Line 159: | Line 159: | ||
| 947.37 | | 947.37 | ||
| Diminished seventh | | Diminished seventh | ||
| [[7/4]] | | [[7/4]] [[12/7]] [[26/15]] | ||
| Li/Ta | | Li/Ta | ||
| m11, A10 | | m11, A10 | ||
| Line 166: | Line 166: | ||
| 1010.53 | | 1010.53 | ||
| Minor seventh | | Minor seventh | ||
| [[9/5]] | | [[9/5]] [[16/9]] | ||
| Te | | Te | ||
| M11, m12 | | M11, m12 | ||
| Line 173: | Line 173: | ||
| 1073.68 | | 1073.68 | ||
| Major seventh | | Major seventh | ||
| [[15/8]] | | [[15/8]] [[13/7]] [[28/15]] [[24/13]] | ||
| Ti | | Ti | ||
| M12 | | M12 | ||
| Line 180: | Line 180: | ||
| 1136.84 | | 1136.84 | ||
| Augmented seventh | | Augmented seventh | ||
| [[48/25]] | | [[48/25]] [[27/14]] [[25/13]] | ||
| To/Da | | To/Da | ||
| A12, d13 | | A12, d13 | ||
| Line 187: | Line 187: | ||
| 1200.00 | | 1200.00 | ||
| Octave | | Octave | ||
| [[2/1]] | | [[2/1]] | ||
| Do | | Do | ||
| P13 | | P13 | ||
| Line 279: | Line 279: | ||
For a more complete list, see [[19edo Chord Names]] and [[Ups and downs notation #Chords and Chord Progressions]]. | For a more complete list, see [[19edo Chord Names]] and [[Ups and downs notation #Chords and Chord Progressions]]. | ||
== Notation == | == Notation == | ||
Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfege, or sargam. Note that D# and Eb are two different notes. | Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfege, or sargam. Note that D# and Eb are two different notes. | ||