19edo: Difference between revisions
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== Intervals == | == Intervals == | ||
{| class="wikitable | {| class="wikitable center-1 right-2" | ||
|- | |- | ||
! [[Degree|#]] | ! [[Degree|#]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
! | ! Note | ||
! Approximated ratios<ref group="note">As a [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]] temperament | ! Approximated ratios<ref group="note">As a [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]] temperament</ref> | ||
! [[Interval category]] | |||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| D | |||
| [[1/1]] | |||
| Unison (prime) | | Unison (prime) | ||
|- | |- | ||
| 1 | | 1 | ||
| 63.2 | | 63.2 | ||
| D♯ | |||
| [[25/24]], [[26/25]], [[27/26]], [[28/27]] | |||
| Augmented unison | | Augmented unison | ||
|- | |- | ||
| 2 | | 2 | ||
| 126.3 | | 126.3 | ||
| E♭ | |||
| [[13/12]], [[14/13]], [[15/14]], [[16/15]] | |||
| Minor second | | Minor second | ||
|- | |- | ||
| 3 | | 3 | ||
| 189.5 | | 189.5 | ||
| E | |||
| [[9/8]], [[10/9]] | |||
| Major second | | Major second | ||
|- | |- | ||
| 4 | | 4 | ||
| 252.6 | | 252.6 | ||
| | | E♯/F♭ | ||
| [[7/6]], [[8/7]], [[15/13]] | | [[7/6]], [[8/7]], [[15/13]] | ||
| Augmented second/<br>Diminished third | |||
|- | |- | ||
| 5 | | 5 | ||
| 315.8 | | 315.8 | ||
| F | |||
| [[6/5]] | |||
| Minor third | | Minor third | ||
|- | |- | ||
| 6 | | 6 | ||
| 378.9 | | 378.9 | ||
| F♯ | |||
| [[5/4]], [[16/13]], [[56/45]] | |||
| Major third | | Major third | ||
|- | |- | ||
| 7 | | 7 | ||
| 442.1 | | 442.1 | ||
| | | F𝄪/G♭ | ||
| [[9/7]], [[13/10]], [[21/16]], [[32/25]] | | [[9/7]], [[13/10]], [[21/16]], [[32/25]] | ||
| Augmented third/<br>Diminished fourth | |||
|- | |- | ||
| 8 | | 8 | ||
| 505.3 | | 505.3 | ||
| G | |||
| [[4/3]], [[75/56]] | |||
| Perfect fourth | | Perfect fourth | ||
|- | |- | ||
| 9 | | 9 | ||
| 568.4 | | 568.4 | ||
| G♯ | |||
| [[7/5]], [[18/13]], [[25/18]] | |||
| Augmented fourth<br>(Small [[tritone]]) | | Augmented fourth<br>(Small [[tritone]]) | ||
|- | |- | ||
| 10 | | 10 | ||
| 631.6 | | 631.6 | ||
| A♭ | |||
| [[10/7]], [[13/9]], [[36/25]] | |||
| Diminished fifth<br>(Large [[tritone]]) | | Diminished fifth<br>(Large [[tritone]]) | ||
|- | |- | ||
| 11 | | 11 | ||
| 694.7 | | 694.7 | ||
| A | |||
| [[3/2]], [[112/75]] | |||
| Perfect fifth | | Perfect fifth | ||
|- | |- | ||
| 12 | | 12 | ||
| 757.9 | | 757.9 | ||
| | | A♯/B𝄫 | ||
| [[14/9]], [[20/13]], [[25/16]], [[32/21]] | | [[14/9]], [[20/13]], [[25/16]], [[32/21]] | ||
| Augmented fifth/<br>Diminished sixth | |||
|- | |- | ||
| 13 | | 13 | ||
| 821.1 | | 821.1 | ||
| B♭ | |||
| [[8/5]], [[13/8]], [[45/28]] | |||
| Minor sixth | | Minor sixth | ||
|- | |- | ||
| 14 | | 14 | ||
| 884.2 | | 884.2 | ||
| B | |||
| [[5/3]] | |||
| Major sixth | | Major sixth | ||
|- | |- | ||
| 15 | | 15 | ||
| 947.4 | | 947.4 | ||
| B♯/C♭ | |||
| [[7/4]], [[12/7]], [[26/15]] | |||
| Augmented sixth<br>Diminished seventh | | Augmented sixth<br>Diminished seventh | ||
|- | |- | ||
| 16 | | 16 | ||
| 1010.5 | | 1010.5 | ||
| C | |||
| [[9/5]], [[16/9]] | |||
| Minor seventh | | Minor seventh | ||
|- | |- | ||
| 17 | | 17 | ||
| 1073.7 | | 1073.7 | ||
| C♯ | |||
| [[13/7]], [[15/8]], [[24/13]], [[28/15]] | |||
| Major seventh | | Major seventh | ||
|- | |- | ||
| 18 | | 18 | ||
| 1136.8 | | 1136.8 | ||
| D♭ | |||
| [[25/13]], [[27/14]], [[48/25]], [[52/27]] | |||
| Augmented seventh | | Augmented seventh | ||
|- | |- | ||
| 19 | | 19 | ||
| 1200.0 | | 1200.0 | ||
| D | |||
| [[2/1]] | |||
| Octave | | Octave | ||
|} | |} | ||
<references group="note"/> | <references group="note"/> | ||
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For a more complete list, see [[19edo chords #Ups and downs notation]] and [[Kite's ups and downs notation #Chords and chord progressions]]. | For a more complete list, see [[19edo chords #Ups and downs notation]] and [[Kite's ups and downs notation #Chords and chord progressions]]. | ||
== Notation == | == Notation == | ||