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Gallery of just intervals: Difference between revisions

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→Gallery of Just Intervals: added the name marvel comma; started to simplify
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{| class="wikitable sortable"
{| class="wikitable sortable"
|-
|-
! | frequency ratio
! frequency ratio
! | cents value
! cents value <br/> (six decimal places)
 
! [[Kite's_color_notation|color notation]]
(six decimal places)
! | [[Kite's_color_notation|color notation]]
! class="unsortable" | some common names
! class="unsortable" | some common names
|-
|-
| | [[1/1|1/1]]
| [[1/1]]
| | 0
| 0
| | w1, wa unison
| w1, wa unison
| | unity, perfect prime, Tonic
| unity, perfect prime, Tonic
|-
|-
| | [[32805/32768|32805/32768]]
| [[32805/32768]]
| | 1.953721
| 1.953721
| | Ly-2, yo minicomma
| Ly-2, yo minicomma
| |<nowiki> schisma, |-15, 8, 1</nowiki>&gt;
| schisma, {{Monzo|-15, 8, 1}}
|-
|-
| | [[225/224|225/224]]
| [[225/224]]
| | 7.711523
| 7.711523
| | ryy-2, ruyoyo minicomma
| ryy-2, ruyoyo minicomma
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>&gt;
| septimal subcomma, marvel comma, {{Monzo|-5, 2, 2, -1}}
|-
|-
| | [[100/99|100/99]]
| [[100/99]]
| | 17.399484
| 17.399484
| | 1uyy1, luyoyo comma
| 1uyy1, luyoyo comma
| | Ptolemy's comma
| Ptolemy's comma
|-
|-
| | [[99/98|99/98]]
| [[99/98]]
| | 17.576131
| 17.576131
| | 1orr-2, loruru comma
| 1orr-2, loruru comma
| | Mothwellsma
| Mothwellsma
|-
|-
| | 2048/2025
| 2048/2025
| | 19.552569
| 19.552569
| | sgg2, small gugu comma
| sgg2, small gugu comma
| |<nowiki> |11, -4, -2</nowiki>&gt;
| {{Monzo|11, -4, -2}}
|-
|-
| | [[81/80|81/80]]
| [[81/80]]
| | 21.506286
| 21.506286
| | g1, gu comma
| g1, gu comma
| | Syntonic comma, Didymus comma
| Syntonic comma, Didymus comma
|-
|-
| | [[531441/524288|531441/524288]]
| [[531441/524288]]
| | 23.460010
| 23.460010
| | LLw-2, wa comma
| LLw-2, wa comma
| |<nowiki> Pythagorean comma, Ditonic comma, |-19, 12</nowiki>&gt;
| Pythagorean comma, Ditonic comma, {{Monzo|-19, 12}}
|-
|-
| | [[66/65|66/65]]
| [[66/65]]
| | 26.431568
| 26.431568
| | 3u1og1, thulogu comma
| 3u1og1, thulogu comma
| | Winmeanma
| Winmeanma
|-
|-
| | [[65/64|65/64]]
| [[65/64]]
| | 26.841376
| 26.841376
| | 3oy1, thoyo comma
| 3oy1, thoyo comma
| | Wilsorma, 13th-partial chroma
| Wilsorma, 13th-partial chroma
|-
|-
| | [[64/63|64/63]]
| [[64/63]]
| | 27.264092
| 27.264092
| | r1, ru comma
| r1, ru comma
| | Septimal comma, Archytas' comma
| Septimal comma, Archytas' comma
|-
|-
| | [[3125/3072|3125/3072]]
| [[3125/3072]]
| | 29.613568
| 29.613568
| | Ly<span style="vertical-align: super;">5</span>-2, quintuple yo comma
| Ly<span style="vertical-align: super;">5</span>-2, quintuple yo comma
| |<nowiki> Magic comma, small diesis, |-10, -1, 5</nowiki>&gt;
| Magic comma, small diesis, {{Monzo|-10, -1, 5}}
|-
|-
| | [[50/49|50/49]]
| [[50/49]]
| | 34.975615
| 34.975615
| | rryy-2, double ruyo comma
| rryy-2, double ruyo comma
| | septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
|-
|-
| | [[49/48|49/48]]
| [[49/48]]
| | 35.696812
| 35.696812
| | zz2, zozo comma
| zz2, zozo comma
| | large septimal diesis, slendro diesis
| large septimal diesis, slendro diesis
|-
|-
| | [[45/44|45/44]]
| [[45/44]]
| | 38.905773
| 38.905773
| | 1uy1, luyo comma
| 1uy1, luyo comma
| | undecimal 1/5th tone
| undecimal 1/5th tone
|-
|-
| | [[128/125|128/125]]
| [[128/125]]
| | 41.058858
| 41.058858
| | g<span style="vertical-align: super;">3</span>2, triple gu comma
| g<span style="vertical-align: super;">3</span>2, triple gu comma
| |<nowiki> Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3</nowiki>&gt;
| Diesis, minor diesis, augmented comma, enharmonic comma, {{Monzo|7, 0, -3}}
|-
|-
| | [[525/512|525/512]]
| [[525/512]]
| | 43.408335
| 43.408335
| | Lzyy1, large zoyoyo comma
| Lzyy1, large zoyoyo comma
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>&gt;
| Avicenna's enharmonic diesis, {{Monzo|-9, 1, 2, 1}}
|-
|-
| | [[36/35|36/35]]
| [[36/35]]
| | 48.770381
| 48.770381
| | rg1, rugu comma
| rg1, rugu comma
| | double comma, septimal quarter tone
| double comma, septimal quarter tone
|-
|-
| | [[250/243|250/243]]
| [[250/243]]
| | 49.166137
| 49.166137
| | y<span style="vertical-align: super;">3</span>1, triple yo comma
| y<span style="vertical-align: super;">3</span>1, triple yo comma
| |<nowiki> Porcupine comma, |1, -5, 3</nowiki>&gt;
| Porcupine comma, {{Monzo|1, -5, 3}}
|-
|-
| | [[59049/57344|59049/57344]]
| [[59049/57344]]
| | 50.724102
| 50.724102
| | Lr-2, large ru comma
| Lr-2, large ru comma
| |<nowiki> Harrison's comma, |-13, 10, 0, -1</nowiki>&gt;
| Harrison's comma, {{Monzo|-13, 10, 0, -1}}
|-
|-
| | [[100/97|100/97]]
| [[100/97]]
| | 52.732017
| 52.732017
| | 97uyy1, ninety-suyoyo quarter-tone
| 97uyy1, ninety-suyoyo quarter-tone
| | shrutar quarter tone
| shrutar quarter tone
|-
|-
| | [[33/32|33/32]]
| [[33/32]]
| | 53.272943
| 53.272943
| | 1o1, ilo quarter-tone
| 1o1, ilo quarter-tone
| | undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
|-
|-
| | [[648/625|648/625]]
| [[648/625|648/625]]
| | 62.565148
| 62.565148
| | g<span style="vertical-align: super;">4</span>2, quadruple gu 2nd
| g<span style="vertical-align: super;">4</span>2, quadruple gu 2nd
| |<nowiki>diminished comma, major diesis, |8, 4, -4</nowiki>&gt;
| diminished comma, major diesis, {{Monzo|8, 4, -4}}
|-
|-
| | [[28/27|28/27]]
| | [[28/27|28/27]]
Line 868: Line 866:
| | Quasi-meantone minor seventh
| | Quasi-meantone minor seventh
|-
|-
| | [[9/5|9/5]]
| [[9/5]]
| | 1017.596288
| 1017.596288
| | g5, gu 7th
| g5, gu 7th
| | minor seventh, large minor seventh
| minor seventh, large minor seventh
|-
|-
| | [[29/16|29/16]]
| [[29/16]]
| | 1029.577194
| 1029.577194
| | 29o7, twenty-no 7th
| 29o7, twenty-no 7th
| | 29-limit large minor seventh, octave-reduced 29th harmonic
| 29-limit large minor seventh, octave-reduced 29th harmonic
|-
|-
| | [[20/11|20/11]]
| [[20/11]]
| | 1034.995772
| 1034.995772
| | 1uy7, luyo 7th
| 1uy7, luyo 7th
| | undecimal minor seventh, small undecimal neutral seventh
| undecimal minor seventh, small undecimal neutral seventh
|-
|-
| | [[64/35|64/35]]
| [[64/35]]
| | 1044.860380
| 1044.860380
| | rg7, rugu 7th
| rg7, rugu 7th
| |  
|  
|-
|-
| | [[11/6|11/6]]
| [[11/6]]
| | 1049.362941
| 1049.362941
| | 1o7, ilo 7th
| 1o7, ilo 7th
| | undecimal neutral seventh, 21/4-tone
| undecimal neutral seventh, 21/4-tone
|-
|-
| | [[24/13|24/13]]
| [[24/13]]
| | 1061.427339
| 1061.427339
| | 3u7, thu 7th
| 3u7, thu 7th
| | tridecimal neutral seventh
| tridecimal neutral seventh
|-
|-
| | [[13/7|13/7]]
| [[13/7]]
| | 1071.701755
| 1071.701755
| | 3or7, thoru 7th
| 3or7, thoru 7th
| | 16/3-tone, tridecimal submajor seventh
| 16/3-tone, tridecimal submajor seventh
|-
|-
| | [[28/15|28/15]]
| [[28/15]]
| | 1080.557192
| 1080.557192
| | zg8, zogu octave
| zg8, zogu octave
| | grave major seventh, octave minus a ruyo aug unison
| grave major seventh, octave minus a ruyo aug unison
|-
|-
| | [[15/8|15/8]]
| [[15/8]]
| | 1088.268715
| 1088.268715
| | y7, yo 7th
| y7, yo 7th
| | major seventh, just major seventh, octave-reduced 15th harmonic
| major seventh, just major seventh, octave-reduced 15th harmonic
|-
|-
| | [[32/17|32/17]]
| [[32/17]]
| | 1095.044590
| 1095.044590
| | 17u7, su 7th
| 17u7, su 7th
| | small septendecimal major seventh, 8ve-reduced 17th subharmonic
| small septendecimal major seventh, [[octave-reduced]] 17th [[subharmonic]]
|-
|-
| | [[17/9|17/9]]
| [[17/9]]
| | 1101.045408
| 1101.045408
| | 17o8, iso octave
| 17o8, iso octave
| | large septendecimal major seventh
| large septendecimal major seventh
|-
|-
| | [[243/128|243/128]]
| [[243/128]]
| | 1109.775004
| 1109.775004
| | Lw7, large wa 7th
| Lw7, large wa 7th
| | Pythagorean major seventh, octave-reduced 243rd harmonic
| Pythagorean major seventh, [[octave-reduced]] 243rd harmonic
|-
|-
| | [[40/21|40/21]]
| [[40/21]]
| | 1115.532907
| 1115.532907
| | ry7, ruyo 7th
| ry7, ruyo 7th
| | acute major seventh
| acute major seventh
|-
|-
| | [[61/32|61/32]]
| [[61/32]]
| | 1116.884905
| 1116.884905
| | 61o7, sixty-wo 7th
| 61o7, sixty-wo 7th
| | octave-reduced 61st harmonic
| octave-reduced 61st harmonic
|-
|-
| | [[48/25|48/25]]
| [[48/25]]
| | 1129.327573
| 1129.327573
| | gg8, gugu octave
| gg8, gugu octave
| | octave minus a yoyo augmented unison
| octave minus a yoyo augmented unison
|-
|-
| | [[27/14|27/14]]
| [[27/14]]
| | 1137.039096
| 1137.039096
| | r7, ru 7th
| r7, ru 7th
| |  
|  
|-
|-
| | [[31/16|31/16]]
| [[31/16]]
| | 1145.035572
| 1145.035572
| | 31o7, thirty-wo 7th
| 31o7, thirty-wo 7th
| | 31-limit ultramajor seventh, octave-reduced 31st harmonic
| 31-limit ultramajor seventh, octave-reduced 31st harmonic
|-
|-
| | [[64/33|64/33]]
| [[64/33]]
| | 1146.727057
| 1146.727057
| | 1u8, lu octave
| 1u8, lu octave
| | octave-reduced 33rd subharmonic
| octave-reduced 33rd subharmonic
|-
|-
| | [[35/18|35/18]]
| [[35/18]]
| | 1151.239619
| 1151.239619
| | zy8, zoyo octave
| zy8, zoyo octave
| | octave minus a rugu comma
| octave minus a rugu comma
|-
|-
| | [[96/49|96/49]]
| [[96/49]]
| | 1164.303188
| 1164.303188
| | rr7, ruru 7th
| rr7, ruru 7th
| |  
|
|-
|-
| | [[49/25|49/25]]
| [[49/25]]
| | 1165.024385
| 1165.024385
| | zzgg9, double zogu 9th
| zzgg9, double zogu 9th
| |  
|  
|-
|-
| | [[160/81|160/81]]
| [[160/81]]
| | 1178.493814
| 1178.493814
| | y8, yo octave
| y8, yo octave
| | octave minus syntonic comma
| octave minus syntonic comma
|-
|-
| | [[Octave|2/1]]
| [[2/1]]
| | 1200
| 1200
| | w8, wa octave
| w8, wa octave
| | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
| [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
|}
|}


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