19edo: Difference between revisions
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| style="text-align:center;" | diminished | | style="text-align:center;" | diminished | ||
| style="text-align:center;" | | | style="text-align:center;" | zo | ||
| style="text-align:center;" | {a, b, 0, 1} | | style="text-align:center;" | {a, b, 0, 1} | ||
| style="text-align:center;" | 7/6, 7/4 | | style="text-align:center;" | 7/6, 7/4 | ||
|- | |- | ||
| style="text-align:center;" | minor | | style="text-align:center;" | minor | ||
| style="text-align:center;" | fourthward | | style="text-align:center;" | fourthward wa | ||
| style="text-align:center;" | {a, b}, b < -1 | | style="text-align:center;" | {a, b}, b < -1 | ||
| style="text-align:center;" | 32/27, 16/9 | | style="text-align:center;" | 32/27, 16/9 | ||
|- | |- | ||
| style="text-align:center;" | " | | style="text-align:center;" | " | ||
| style="text-align:center;" | | | style="text-align:center;" | gu | ||
| style="text-align:center;" | {a, b, -1} | | style="text-align:center;" | {a, b, -1} | ||
| style="text-align:center;" | 6/5, 9/5 | | style="text-align:center;" | 6/5, 9/5 | ||
|- | |- | ||
| style="text-align:center;" | major | | style="text-align:center;" | major | ||
| style="text-align:center;" | | | style="text-align:center;" | yo | ||
| style="text-align:center;" | {a, b, 1} | | style="text-align:center;" | {a, b, 1} | ||
| style="text-align:center;" | 5/4, 5/3 | | style="text-align:center;" | 5/4, 5/3 | ||
|- | |- | ||
| style="text-align:center;" | " | | style="text-align:center;" | " | ||
| style="text-align:center;" | fifthward | | style="text-align:center;" | fifthward wa | ||
| style="text-align:center;" | {a, b}, b > 1 | | style="text-align:center;" | {a, b}, b > 1 | ||
| style="text-align:center;" | 9/8, 27/16 | | style="text-align:center;" | 9/8, 27/16 | ||
|- | |- | ||
| style="text-align:center;" | augmented | | style="text-align:center;" | augmented | ||
| style="text-align:center;" | | | style="text-align:center;" | ru | ||
| style="text-align:center;" | {a, b, 0, -1} | | style="text-align:center;" | {a, b, 0, -1} | ||
| style="text-align:center;" | 9/7, 12/7 | | style="text-align:center;" | 9/7, 12/7 | ||
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! | spoken name | ! | spoken name | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | zo | ||
| style="text-align:center;" | 6:7:9 | | style="text-align:center;" | 6:7:9 | ||
| style="text-align:center;" | 0-4-11 | | style="text-align:center;" | 0-4-11 | ||
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| style="text-align:center;" | C flat-three or C dim-three | | style="text-align:center;" | C flat-three or C dim-three | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | gu | ||
| style="text-align:center;" | 10:12:15 | | style="text-align:center;" | 10:12:15 | ||
| style="text-align:center;" | 0-5-11 | | style="text-align:center;" | 0-5-11 | ||
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| style="text-align:center;" | C minor | | style="text-align:center;" | C minor | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | yo | ||
| style="text-align:center;" | 4:5:6 | | style="text-align:center;" | 4:5:6 | ||
| style="text-align:center;" | 0-6-11 | | style="text-align:center;" | 0-6-11 | ||
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| style="text-align:center;" | C major or C | | style="text-align:center;" | C major or C | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | ru | ||
| style="text-align:center;" | 14:18:27 | | style="text-align:center;" | 14:18:27 | ||
| style="text-align:center;" | 0-7-11 | | style="text-align:center;" | 0-7-11 | ||
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0-5-11-15 = C Eb G A# is Cm,#6 or Cm,A6 = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7 | 0-5-11-15 = C Eb G A# is Cm,#6 or Cm,A6 = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7 | ||
The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate | The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate zo and ru ratios. | ||
For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | ||
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|- | |- | ||
| style="text-align:center;" | 16875/16384 | | style="text-align:center;" | 16875/16384 | ||
| | | -14 3 4 > | | |<nowiki> | -14 3 4 </nowiki>> | ||
| style="text-align:right;" | 51.12 | | style="text-align:right;" | 51.12 | ||
| style="text-align:center;" | Negri Comma, <span style="line-height: 1.5;">Double Augmentation Diesis</span> | | style="text-align:center;" | Negri Comma, <span style="line-height: 1.5;">Double Augmentation Diesis</span> | ||
|- | |- | ||
| style="text-align:center;" | 3125/3072 | | style="text-align:center;" | 3125/3072 | ||
| | | -10 -1 5 > | | |<nowiki> | -10 -1 5 </nowiki>> | ||
| style="text-align:right;" | 29.61 | | style="text-align:right;" | 29.61 | ||
| style="text-align:center;" | Small Diesis, <span style="line-height: 1.5;">Magic Comma</span> | | style="text-align:center;" | Small Diesis, <span style="line-height: 1.5;">Magic Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | [[81/80|81/80]] | | style="text-align:center;" | [[81/80|81/80]] | ||
| | | -4 4 -1 > | | |<nowiki> | -4 4 -1 </nowiki>> | ||
| style="text-align:right;" | 21.51 | | style="text-align:right;" | 21.51 | ||
| style="text-align:center;" | [[Syntonic_Comma|Syntonic Comma]], <span style="line-height: 1.5;">Didymos Comma, Meantone Comma</span> | | style="text-align:center;" | [[Syntonic_Comma|Syntonic Comma]], <span style="line-height: 1.5;">Didymos Comma, Meantone Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | 78732/78125 | | style="text-align:center;" | 78732/78125 | ||
| | | 2 9 -7 > | | |<nowiki> | 2 9 -7 </nowiki>> | ||
| style="text-align:right;" | 13.40 | | style="text-align:right;" | 13.40 | ||
| style="text-align:center;" | Medium Semicomma, <span style="line-height: 1.5;">Sensipent Comma</span> | | style="text-align:center;" | Medium Semicomma, <span style="line-height: 1.5;">Sensipent Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | 15625/15552 | | style="text-align:center;" | 15625/15552 | ||
| | | -6 -5 6 > | | |<nowiki> | -6 -5 6 </nowiki>> | ||
| style="text-align:right;" | 8.11 | | style="text-align:right;" | 8.11 | ||
| style="text-align:center;" | Kleisma, <span style="line-height: 1.5;">Semicomma Majeur</span> | | style="text-align:center;" | Kleisma, <span style="line-height: 1.5;">Semicomma Majeur</span> | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| | | 8 14 -13 > | | |<nowiki> | 8 14 -13 </nowiki>> | ||
| style="text-align:right;" | 5.29 | | style="text-align:right;" | 5.29 | ||
| style="text-align:center;" | Parakleisma | | style="text-align:center;" | Parakleisma | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| | | -14 -19 19 > | | |<nowiki> | -14 -19 19 </nowiki>> | ||
| style="text-align:right;" | 2.82 | | style="text-align:right;" | 2.82 | ||
| style="text-align:center;" | Enneadeca, <span style="line-height: 1.5;">19-Tone-Comma</span> | | style="text-align:center;" | Enneadeca, <span style="line-height: 1.5;">19-Tone-Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | 1029/1000 | | style="text-align:center;" | 1029/1000 | ||
| | | -3 1 -3 3 > | | |<nowiki> | -3 1 -3 3 </nowiki>> | ||
| style="text-align:right;" | 49.49 | | style="text-align:right;" | 49.49 | ||
| style="text-align:center;" | Keega | | style="text-align:center;" | Keega | ||
|- | |- | ||
| style="text-align:center;" | 525/512 | | style="text-align:center;" | 525/512 | ||
| | | -9 1 2 1 > | | |<nowiki> | -9 1 2 1 </nowiki>> | ||
| style="text-align:right;" | 43.41 | | style="text-align:right;" | 43.41 | ||
| style="text-align:center;" | Avicenna, <span style="line-height: 1.5;">Avicenna's Enharmonic Diesis</span> | | style="text-align:center;" | Avicenna, <span style="line-height: 1.5;">Avicenna's Enharmonic Diesis</span> | ||
|- | |- | ||
| style="text-align:center;" | [[49/48|49/48]] | | style="text-align:center;" | [[49/48|49/48]] | ||
| | | -4 -1 0 2 > | | |<nowiki> | -4 -1 0 2 </nowiki>> | ||
| style="text-align:right;" | 35.70 | | style="text-align:right;" | 35.70 | ||
| style="text-align:center;" | Slendro Diesis | | style="text-align:center;" | Slendro Diesis | ||
|- | |- | ||
| style="text-align:center;" | 686/675 | | style="text-align:center;" | 686/675 | ||
| | | 1 -3 -2 3 > | | |<nowiki> | 1 -3 -2 3 </nowiki>> | ||
| style="text-align:right;" | 27.99 | | style="text-align:right;" | 27.99 | ||
| style="text-align:center;" | Senga | | style="text-align:center;" | Senga | ||
|- | |- | ||
| style="text-align:center;" | 875/864 | | style="text-align:center;" | 875/864 | ||
| | | -5 -3 3 1 > | | |<nowiki> | -5 -3 3 1 </nowiki>> | ||
| style="text-align:right;" | 21.90 | | style="text-align:right;" | 21.90 | ||
| style="text-align:center;" | Keema | | style="text-align:center;" | Keema | ||
|- | |- | ||
| style="text-align:center;" | [[245/243|245/243]] | | style="text-align:center;" | [[245/243|245/243]] | ||
| | | 0 -5 1 2 > | | |<nowiki> | 0 -5 1 2 </nowiki>> | ||
| style="text-align:right;" | 14.19 | | style="text-align:right;" | 14.19 | ||
| style="text-align:center;" | Sensamagic | | style="text-align:center;" | Sensamagic | ||
|- | |- | ||
| style="text-align:center;" | [[126/125|126/125]] | | style="text-align:center;" | [[126/125|126/125]] | ||
| | | 1 2 -3 1 > | | |<nowiki> | 1 2 -3 1 </nowiki>> | ||
| style="text-align:right;" | 13.79 | | style="text-align:right;" | 13.79 | ||
| style="text-align:center;" | Septimal Semicomma, <span style="line-height: 1.5;">Starling Comma</span> | | style="text-align:center;" | Septimal Semicomma, <span style="line-height: 1.5;">Starling Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | [[225/224|225/224]] | | style="text-align:center;" | [[225/224|225/224]] | ||
| | | -5 2 2 -1 > | | |<nowiki> | -5 2 2 -1 </nowiki>> | ||
| style="text-align:right;" | 7.71 | | style="text-align:right;" | 7.71 | ||
| style="text-align:center;" | Septimal Kleisma, <span style="line-height: 1.5;">Marvel Comma</span> | | style="text-align:center;" | Septimal Kleisma, <span style="line-height: 1.5;">Marvel Comma</span> | ||
|- | |- | ||
| style="text-align:center;" | 19683/19600 | | style="text-align:center;" | 19683/19600 | ||
| | | -4 9 -2 -2 > | | |<nowiki> | -4 9 -2 -2 </nowiki>> | ||
| style="text-align:right;" | 7.32 | | style="text-align:right;" | 7.32 | ||
| style="text-align:center;" | Cataharry | | style="text-align:center;" | Cataharry | ||
|- | |- | ||
| style="text-align:center;" | 10976/10935 | | style="text-align:center;" | 10976/10935 | ||
| | | 5 -7 -1 3 > | | |<nowiki> | 5 -7 -1 3 </nowiki>> | ||
| style="text-align:right;" | 6.48 | | style="text-align:right;" | 6.48 | ||
| style="text-align:center;" | Hemimage | | style="text-align:center;" | Hemimage | ||
|- | |- | ||
| style="text-align:center;" | 3136/3125 | | style="text-align:center;" | 3136/3125 | ||
| | | 6 0 -5 2 > | | |<nowiki> | 6 0 -5 2 </nowiki>> | ||
| style="text-align:right;" | 6.08 | | style="text-align:right;" | 6.08 | ||
| style="text-align:center;" | Hemimean | | style="text-align:center;" | Hemimean | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| | | -11 2 7 -3 > | | |<nowiki> | -11 2 7 -3 </nowiki>> | ||
| style="text-align:right;" | 1.63 | | style="text-align:right;" | 1.63 | ||
| style="text-align:center;" | Meter | | style="text-align:center;" | Meter | ||
|- | |- | ||
| style="text-align:center;" | 4375/4374 | | style="text-align:center;" | 4375/4374 | ||
| | | -1 -7 4 1 > | | |<nowiki> | -1 -7 4 1 </nowiki>> | ||
| style="text-align:right;" | 0.40 | | style="text-align:right;" | 0.40 | ||
| style="text-align:center;" | Ragisma | | style="text-align:center;" | Ragisma | ||
|- | |- | ||
| style="text-align:center;" | [[100/99|100/99]] | | style="text-align:center;" | [[100/99|100/99]] | ||
| | | 2 -2 2 0 -1 > | | |<nowiki> | 2 -2 2 0 -1 </nowiki>> | ||
| style="text-align:right;" | 17.40 | | style="text-align:right;" | 17.40 | ||
| style="text-align:center;" | Ptolemisma | | style="text-align:center;" | Ptolemisma | ||
|- | |- | ||
| style="text-align:center;" | 896/891 | | style="text-align:center;" | 896/891 | ||
| | | 7 -4 0 1 -1 > | | |<nowiki> | 7 -4 0 1 -1 </nowiki>> | ||
| style="text-align:right;" | 9.69 | | style="text-align:right;" | 9.69 | ||
| style="text-align:center;" | Pentacircle | | style="text-align:center;" | Pentacircle | ||
|- | |- | ||
| style="text-align:center;" | 65536/65219 | | style="text-align:center;" | 65536/65219 | ||
| | | 16 0 0 -2 -3 > | | |<nowiki> | 16 0 0 -2 -3 </nowiki>> | ||
| style="text-align:right;" | 8.39 | | style="text-align:right;" | 8.39 | ||
| style="text-align:center;" | Orgonisma | | style="text-align:center;" | Orgonisma | ||
|- | |- | ||
| style="text-align:center;" | [[385/384|385/384]] | | style="text-align:center;" | [[385/384|385/384]] | ||
| | | -7 -1 1 1 1 > | | |<nowiki> | -7 -1 1 1 1 </nowiki>> | ||
| style="text-align:right;" | 4.50 | | style="text-align:right;" | 4.50 | ||
| style="text-align:center;" | Keenanisma | | style="text-align:center;" | Keenanisma | ||
|- | |- | ||
| style="text-align:center;" | 540/539 | | style="text-align:center;" | 540/539 | ||
| | | 2 3 1 -2 -1 > | | |<nowiki> | 2 3 1 -2 -1 </nowiki>> | ||
| style="text-align:right;" | 3.21 | | style="text-align:right;" | 3.21 | ||
| style="text-align:center;" | Swetisma | | style="text-align:center;" | Swetisma | ||
|- | |- | ||
| style="text-align:center;" | [[91/90|91/90]] | | style="text-align:center;" | [[91/90|91/90]] | ||
| | | -1 -2 -1 1 0 1 > | | |<nowiki> | -1 -2 -1 1 0 1 </nowiki>> | ||
| style="text-align:right;" | 19.13 | | style="text-align:right;" | 19.13 | ||
| style="text-align:center;" | Superleap | | style="text-align:center;" | Superleap | ||
|- | |- | ||
| style="text-align:center;" | 676/675 | | style="text-align:center;" | 676/675 | ||
| | | 2 -3 -2 0 0 2 > | | |<nowiki> | 2 -3 -2 0 0 2 </nowiki>> | ||
| style="text-align:right;" | 2.56 | | style="text-align:right;" | 2.56 | ||
| style="text-align:center;" | Parizeksma | | style="text-align:center;" | Parizeksma | ||