Gallery of just intervals: Difference between revisions

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| | [[1/1|1/1]]
| | [[1/1|1/1]]
| | 0
| | 0
| | w1 = white unison
| | w1 = wa unison
| | unity, perfect prime, Tonic
| | unity, perfect prime, Tonic
|-
|-
| | [[32805/32768|32805/32768]]
| | [[32805/32768|32805/32768]]
| | 1.953721
| | 1.953721
| | Ly-2 = yellow subcomma
| | Ly-2 = yo subcomma
| |<nowiki> schisma, |-15, 8, 1</nowiki>&gt;
| |<nowiki> schisma, |-15, 8, 1</nowiki>&gt;
|-
|-
| | [[225/224|225/224]]
| | [[225/224|225/224]]
| | 7.711523
| | 7.711523
| | ryy-2 = reddish-yellow subcomma
| | ryy-2 = ruyoyo subcomma
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>&gt;
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>&gt;
|-
|-
| | [[100/99|100/99]]
| | [[100/99|100/99]]
| | 17.399484
| | 17.399484
| | ayy1 = amber deep yellow comma
| | 1uyy1 = luyoyo comma
| | Ptolemy's comma
| | Ptolemy's comma
|-
|-
| | [[99/98|99/98]]
| | [[99/98|99/98]]
| | 17.576131
| | 17.576131
| | jrr-2 = jade deep red comma
| | 1orr-2 = loruru comma
| | Mothwellsma
| | Mothwellsma
|-
|-
| | 2048/2025
| | 2048/2025
| | 19.552569
| | 19.552569
| | sgg2 = small deep green comma
| | sgg2 = small gugu comma
| |<nowiki> |11, -4, -2</nowiki>&gt;
| |<nowiki> |11, -4, -2</nowiki>&gt;
|-
|-
| | [[81/80|81/80]]
| | [[81/80|81/80]]
| | 21.506286
| | 21.506286
| | g1 = green comma
| | g1 = gu comma
| | Syntonic comma, Didymus comma
| | Syntonic comma, Didymus comma
|-
|-
| | [[531441/524288|531441/524288]]
| | [[531441/524288|531441/524288]]
| | 23.460010
| | 23.460010
| | LLw-2 = white comma
| | LLw-2 = wa comma
| |<nowiki> Pythagorean comma, Ditonic comma, |-19, 12</nowiki>&gt;
| |<nowiki> Pythagorean comma, Ditonic comma, |-19, 12</nowiki>&gt;
|-
|-
| | [[66/65|66/65]]
| | [[66/65|66/65]]
| | 26.431568
| | 26.431568
| | ojg1 = oche-jadish comma
| | 3u1og1 = thulogu comma
| | Winmeanma
| | Winmeanma
|-
|-
| | [[65/64|65/64]]
| | [[65/64|65/64]]
| | 26.841376
| | 26.841376
| | ey1 = emerald-yellow comma
| | 3oy1 = thoyo comma
| | Wilsorma, 13th-partial chroma
| | Wilsorma, 13th-partial chroma
|-
|-
| | [[64/63|64/63]]
| | [[64/63|64/63]]
| | 27.264092
| | 27.264092
| | r1 = red comma
| | r1 = ru comma
| | Septimal comma, Archytas' comma
| | Septimal comma, Archytas' comma
|-
|-
| | [[3125/3072|3125/3072]]
| | [[3125/3072|3125/3072]]
| | 29.613568
| | 29.613568
| | Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma
| | Ly<span style="vertical-align: super;">5</span>-2 = quintuple yo comma
| |<nowiki> Magic comma, small diesis, |-10, -1, 5</nowiki>&gt;
| |<nowiki> Magic comma, small diesis, |-10, -1, 5</nowiki>&gt;
|-
|-
| | [[50/49|50/49]]
| | [[50/49|50/49]]
| | 34.975615
| | 34.975615
| | rryy-2 = deep reddish 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|49/48]]
| | 35.696812
| | 35.696812
| | bb2 = deep blue comma
| | zz2 = zozo comma
| | large septimal diesis, slendro diesis
| | large septimal diesis, slendro diesis
|-
|-
| | [[45/44|45/44]]
| | [[45/44|45/44]]
| | 38.905773
| | 38.905773
| | ay1 = amber-yellow comma
| | 1uy1 = luyo comma
| | undecimal 1/5th tone
| | undecimal 1/5th tone
|-
|-
| | [[128/125|128/125]]
| | [[128/125|128/125]]
| | 41.058858
| | 41.058858
| | g<span style="vertical-align: super;">3</span>2 = triple green 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;
| |<nowiki> Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3</nowiki>&gt;
|-
|-
| | [[525/512|525/512]]
| | [[525/512|525/512]]
| | 43.408335
| | 43.408335
| | Lyyb1 = large yellowish-yellow comma
| | Lyyb1 = large zoyoyo comma
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>&gt;
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>&gt;
|-
|-
| | [[36/35|36/35]]
| | [[36/35|36/35]]
| | 48.770381
| | 48.770381
| | gr1 = greenish comma
| | rg1 = rugu comma
| | double comma, septimal quarter tone
| | double comma, septimal quarter tone
|-
|-
| | [[250/243|250/243]]
| | [[250/243|250/243]]
| | 49.166137
| | 49.166137
| | y<span style="vertical-align: super;">3</span>1 = triple yellow comma
| | y<span style="vertical-align: super;">3</span>1 = triple yo comma
| |<nowiki> Porcupine comma, |1, -5, 3</nowiki>&gt;
| |<nowiki> Porcupine comma, |1, -5, 3</nowiki>&gt;
|-
|-
| | [[59049/57344|59049/57344]]
| | [[59049/57344|59049/57344]]
| | 50.724102
| | 50.724102
| | Lr-2 = large red comma
| | Lr-2 = large ru comma
| |<nowiki> Harrison's comma, |-13, 10, 0, -1</nowiki>&gt;
| |<nowiki> Harrison's comma, |-13, 10, 0, -1</nowiki>&gt;
|-
|-
| | [[100/97|100/97]]
| | [[100/97|100/97]]
| | 52.732017
| | 52.732017
| | 97qyy1 = 97esque deep yellow quarter-tone
| | 97qyy1 = 97u yoyo quarter-tone
| | shrutar quarter tone
| | shrutar quarter tone
|-
|-
| | [[33/32|33/32]]
| | [[33/32|33/32]]
| | 53.272943
| | 53.272943
| | j1 = jade quarter-tone
| | j1 = lo 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 green 2nd
| | g<span style="vertical-align: super;">4</span>2 = quadruple gu 2nd
| |<nowiki> diminished comma, major diesis, |8, 4, -4</nowiki>&gt;
| |<nowiki> diminished comma, major diesis, |8, 4, -4</nowiki>&gt;
|-
|-
| | [[28/27|28/27]]
| | [[28/27|28/27]]
| | 62.960904
| | 62.960904
| | b2 = blue 2nd
| | b2 = zo 2nd
| | septimal chroma, small septimal chromatic semitone, septimal subminor second
| | septimal chroma, small septimal chromatic semitone, septimal subminor second
|-
|-
| | [[25/24|25/24]]
| | [[25/24|25/24]]
| | 70.672427
| | 70.672427
| | yy1 = deep yellow semitone
| | yy1 = yoyo semitone
| | chroma, chromatic semitone, Zarlinian semitone
| | chroma, chromatic semitone, Zarlinian semitone
|-
|-
| | [[68/65|68/65]]
| | [[68/65|68/65]]
| | 78.114034
| | 78.114034
| | 17iog2 = 17ish ochre green 2nd
| | 17iog2 = sothugu 2nd
| | valentine semitone
| | valentine semitone
|-
|-
| | [[22/21|22/21]]
| | [[22/21|22/21]]
| | 80.537035
| | 80.537035
| | jr1 = jade-red semitone
| | jr1 = loru semitone
| | undecimal minor semitone
| | undecimal minor semitone
|-
|-
| | [[64/61|64/61]]
| | [[64/61|64/61]]
| | 83.115195
| | 83.115195
| | 61q2 = 61esque 2nd
| | 61q2 = sixty-wu 2nd
| | harry minor semitone
| | harry minor semitone
|-
|-
| | [[21/20|21/20]]
| | [[21/20|21/20]]
| | 84.467193
| | 84.467193
| | bg2 = bluish 2nd
| | bg2 = zogu 2nd
| | minor semitone, large septimal chromatic semitone
| | minor semitone, large septimal chromatic semitone
|-
|-
| | [[256/243|256/243]]
| | [[256/243|256/243]]
| | 90.224996
| | 90.224996
| | sw2 = small white 2nd
| | sw2 = small wa 2nd
| |<nowiki> Pythagorean limma, Pythagorean minor second, |8, -5</nowiki>&gt;
| |<nowiki> Pythagorean limma, Pythagorean minor second, |8, -5</nowiki>&gt;
|-
|-
| | [[135/128|135/128]]
| | [[135/128|135/128]]
| | 92.178716
| | 92.178716
| | Ly1 = large yellow semitone
| | Ly1 = large yo semitone
| |<nowiki> major limma, |-7, 3, 1</nowiki>&gt;
| |<nowiki> major limma, |-7, 3, 1</nowiki>&gt;
|-
|-
| | [[18/17|18/17]]
| | [[18/17|18/17]]
| | 98.954592
| | 98.954592
| | 17q1 = 17esque semitone
| | 17q1 = su semitone
| | small septendecimal semitone, Arabic lute index finger
| | small septendecimal semitone, Arabic lute index finger
|-
|-
| | [[17/16|17/16]]
| | [[17/16|17/16]]
| | 104.955410
| | 104.955410
| | 17i2 = 17ish 2nd
| | 17i2 = sova 2nd
| | large septendecimal semitone, octave-reduced 17th harmonic
| | large septendecimal semitone, octave-reduced 17th harmonic
|-
|-
| | [[16/15|16/15]]
| | [[16/15|16/15]]
| | 111.731285
| | 111.731285
| | g2 = green 2nd
| | g2 = gu 2nd
| | diatonic semitone, classic minor second, octave-reduced 15th subharmonic
| | diatonic semitone, classic minor second, octave-reduced 15th subharmonic
|-
|-
| | [[2187/2048|2187/2048]]
| | [[2187/2048|2187/2048]]
| | 113.685006
| | 113.685006
| | Lw1 = large white semitone
| | Lw1 = large wa semitone
| |<nowiki> apotome, |-11, 7</nowiki>&gt;
| |<nowiki> apotome, |-11, 7</nowiki>&gt;
|-
|-
| | [[77/72|77/72]]
| | [[77/72|77/72]]
| | 116.233847
| | 116.233847
| | jb2 = jade-blue 2nd
| | jb2 = lozo 2nd
| | undecimal secor
| | undecimal secor
|-
|-
| | [[15/14|15/14]]
| | [[15/14|15/14]]
| | 119.442808
| | 119.442808
| | ry1 = reddish semitone
| | ry1 = ruyo semitone
| | septimal diatonic semitone
| | septimal diatonic semitone
|-
|-
| | [[14/13|14/13]]
| | [[14/13|14/13]]
| | 128.298245
| | 128.298245
| | ob2 = ochre-blue 2nd
| | ob2 = thuzo 2nd
| | 2/3-tone, trienthird, tridecimal supraminor second
| | 2/3-tone, trienthird, tridecimal supraminor second
|-
|-
| | [[27/25|27/25]]
| | [[27/25|27/25]]
| | 133.237575
| | 133.237575
| | gg2 = deep green 2nd
| | gg2 = gugu 2nd
| | large limma
| | large limma
|-
|-
| | [[13/12|13/12]]
| | [[13/12|13/12]]
| | 138.572661
| | 138.572661
| | e2 = emerald 2nd
| | e2 = tho 2nd
| | tridecimal subtone, tridecimal 2/3-tone
| | tridecimal subtone, tridecimal 2/3-tone
|-
|-
| | [[243/224|243/224]]
| | [[243/224|243/224]]
| | 140.949098
| | 140.949098
| | Lr1 = large red semitone
| | Lr1 = large ru semitone
| |<nowiki> septimal subtone, |-5, 5, 0, -1</nowiki>&gt;
| |<nowiki> septimal subtone, |-5, 5, 0, -1</nowiki>&gt;
|-
|-
| | [[88/81|88/81]]
| | [[88/81|88/81]]
| | 143.497939
| | 143.497939
| | j2 = jade 2nd
| | j2 = lova 2nd
| | undecimal subtone
| | undecimal subtone
|-
|-
| | [[49/45|49/45]]
| | [[49/45|49/45]]
| | 147.428097
| | 147.428097
| | bbg3 = bluish-blue 3rd
| | bbg3 = zozogu 3rd
| | swetismic neutral second
| | swetismic neutral second
|-
|-
| | [[12/11|12/11]]
| | [[12/11|12/11]]
| | 150.637059
| | 150.637059
| | a2 = amber 2nd
| | a2 = lu 2nd
| | small undecimal neutral second, 3/4-tone
| | small undecimal neutral second, 3/4-tone
|-
|-
| | [[35/32|35/32]]
| | [[35/32|35/32]]
| | 155.139620
| | 155.139620
| | yb2 = yellowish 2nd
| | zy2 = zoyo 2nd
| | septimal neutral second
| | septimal neutral second
|-
|-
| | [[78/71|78/71]]
| | [[78/71|78/71]]
| | 162.786119
| | 162.786119
| | 71qe2= 71esque emerald 2nd
| | 71qe2= 71u tho 2nd
| | porcupine neutral second
| | porcupine neutral second
|-
|-
| | [[11/10|11/10]]
| | [[11/10|11/10]]
| | 165.004228
| | 165.004228
| | jg2 = jadish 2nd
| | jg2 = logu 2nd
| | large undecimal neutral second, 4/5-tone, Ptolemy's second
| | large undecimal neutral second, 4/5-tone, Ptolemy's second
|-
|-
| | [[54/49|54/49]]
| | [[54/49|54/49]]
| | 168.213190
| | 168.213190
| | rr1 = deep red augmented unison
| | rr1 = ruru augmented unison
| | Zalzal's mujannab
| | Zalzal's mujannab
|-
|-
| | [[10/9|10/9]]
| | [[10/9|10/9]]
| | 182.403712
| | 182.403712
| | y2 = yellow 2nd
| | y2 = yo 2nd
| | minor whole tone
| | minor whole tone
|-
|-
| | [[49/44|49/44]]
| | [[49/44|49/44]]
| | 186.333871
| | 186.333871
| | abb3 = amber deep blue 3rd
| | abb3 = luzozo 3rd
| | werckismic minor second
| | werckismic minor second
|-
|-
| | [[19/17|19/17]]
| | [[19/17|19/17]]
| | 192.557607
| | 192.557607
| | 19i17q2 =19ish 17esque 2nd
| | 19i17q2 = nosu 2nd
| | quasi-meantone
| | quasi-meantone
|-
|-
| | [[28/25|28/25]]
| | [[28/25|28/25]]
| | 196.198479
| | 196.198479
| | bgg3 = bluish-green 3rd
| | bgg3 = zogugu 3rd
| | middle major second
| | middle major second
|-
|-
| | [[55/49|55/49]]
| | [[55/49|55/49]]
| | 199.979843
| | 199.979843
| | jrry1 = jade-red reddish unison
| | jrry1 = loruruyo unison
| | werckismic tone
| | werckismic tone
|-
|-
| | [[9/8|9/8]]
| | [[9/8|9/8]]
| | 203.910002
| | 203.910002
| | w2 = white 2nd
| | w2 = wa 2nd
| | major whole tone, Pythagorean tone, octave-reduced 9th harmonic
| | major whole tone, Pythagorean tone, octave-reduced 9th harmonic
|-
|-
| | [[17/15|17/15]]
| | [[17/15|17/15]]
| | 216.686695
| | 216.686695
| | 17ig3 = 17ish green 3rd
| | 17ig3 = sogu 3rd
| | septendecimal whole tone, septendecimal eventone
| | septendecimal whole tone, septendecimal eventone
|-
|-
| | [[8/7|8/7]]
| | [[8/7|8/7]]
| | 231.174094
| | 231.174094
| | r2 = red 2nd
| | r2 = ru 2nd
| | supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic
| | supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic
|-
|-
| | [[63/55|63/55]]
| | [[63/55|63/55]]
| | 235.104252
| | 235.104252
| | abg3 = amber bluish 3rd
| | abg3 = luzogu 3rd
| | werckismic supermajor second
| | werckismic supermajor second
|-
|-
| | [[55/48|55/48]]
| | [[55/48|55/48]]
| | 235.676655
| | 235.676655
| | jy2 = jade-yellow 2nd
| | jy2 = loyo 2nd
| | keenanismic supermajor second
| | keenanismic supermajor second
|-
|-
| | [[15/13|15/13]]
| | [[15/13|15/13]]
| | 247.741053
| | 247.741053
| | oy2 = ochre-yellow 2nd
| | oy2 = thuyo 2nd
| | semifourth, tridecimal ultramajor second, tridecimal inframinor third
| | semifourth, tridecimal ultramajor second, tridecimal inframinor third
|-
|-
| | [[22/19|22/19]]
| | [[22/19|22/19]]
| | 253.804926
| | 253.804926
| | 19qj2 = 19esque jade 2nd
| | 19qj2 = nulo 2nd
| | minimal minor third, godzilla third
| | minimal minor third, godzilla third
|-
|-
| | [[64/55|64/55]]
| | [[64/55|64/55]]
| | 262.368344
| | 262.368344
| | ag3 = amber-green 3rd
| | ag3 = lugu 3rd
| | keenanismic subminor third, octave-reduced 55th subharmonic
| | keenanismic subminor third, octave-reduced 55th subharmonic
|-
|-
| | [[7/6|7/6]]
| | [[7/6|7/6]]
| | 266.870906
| | 266.870906
| | b3 = blue 3rd
| | b3 = zo 3rd
| | subminor third, septimal minor third, augmented second
| | subminor third, septimal minor third, augmented second
|-
|-
| | [[90/77|90/77]]
| | [[90/77|90/77]]
| | 270.079867
| | 270.079867
| | ary2 = amber reddish 2nd
| | ary2 = luruyo 2nd
| | swetismic subminor third
| | swetismic subminor third
|-
|-
| | [[62/53|62/53]]
| | [[62/53|62/53]]
| | 271.531027
| | 271.531027
| | 53q31i2 = 53esque 31ish 2nd
| | 53q31i2 = 53u31o 2nd
| | orwell subminor third
| | orwell subminor third
|-
|-
| | [[75/64|75/64]]
| | [[75/64|75/64]]
| | 274.582429
| | 274.582429
| | yy2 = deep yellow 2nd
| | yy2 = yoyo 2nd
| | classic augmented second
| | classic augmented second
|-
|-
| | [[20/17|20/17]]
| | [[20/17|20/17]]
| | 281.358304
| | 281.358304
| | 17qy2 = 17esque yellow 2nd
| | 17qy2 = suyo 2nd
| | septendecimal augmented second, septendecimal minor third
| | septendecimal augmented second, septendecimal minor third
|-
|-
| | [[13/11|13/11]]
| | [[13/11|13/11]]
| | 289.209179
| | 289.209179
| | ea3 = emerald amber 3rd
| | ea3 = tholu 3rd
| | tridecimal minor third
| | tridecimal minor third
|-
|-
| | [[32/27|32/27]]
| | [[32/27|32/27]]
| | 294.134997
| | 294.134997
| | w3 = white 3rd
| | w3 = wa 3rd
| | Pythagorean minor third, octave-reduced 27th subharmonic
| | Pythagorean minor third, octave-reduced 27th subharmonic
|-
|-
| | [[19/16|19/16]]
| | [[19/16|19/16]]
| | 297.513016
| | 297.513016
| | 19i3 = 19ish 3rd
| | 19i3 = nova 3rd
| | otonal minor third, octave-reduced 19th harmonic
| | otonal minor third, octave-reduced 19th harmonic
|-
|-
| | [[25/21|25/21]]
| | [[25/21|25/21]]
| | 301.846520
| | 301.846520
| | ryy2 = reddish-yellow 2nd
| | ryy2 = ruyoyo 2nd
| | quasi-tempered minor third
| | quasi-tempered minor third
|-
|-
| | [[61/51|61/51]]
| | [[61/51|61/51]]
| | 309.974395
| | 309.974395
| | 61i17q2 = 61ish 17esque 2nd
| | 61i17q2 = 61o su 2nd
| | myna third
| | myna third
|-
|-
| | [[6/5|6/5]]
| | [[6/5|6/5]]
| | 315.641287
| | 315.641287
| | g3 = green 3rd
| | g3 = gu 3rd
| | minor third, pental minor third
| | minor third, pental minor third
|-
|-
| | [[77/64|77/64]]
| | [[77/64|77/64]]
| | 320.143849
| | 320.143849
| | jb3 = jade blue 3rd
| | jb3 = lozo 3rd
| | keenanismic minor third, octave-reduced 77th harmonic
| | keenanismic minor third, octave-reduced 77th harmonic
|-
|-
| | 135/112
| | 135/112
| | 323.352810
| | 323.352810
| | ry2 = reddish aug 2nd
| | ry2 = ruyo aug 2nd
| |<nowiki> large septimal minor third, marvelous minor third, |-4, 3, 1, -1</nowiki>&gt;
| |<nowiki> large septimal minor third, marvelous minor third, |-4, 3, 1, -1</nowiki>&gt;
|-
|-
| | [[35/29|35/29]]
| | [[35/29|35/29]]
| | 325.562426
| | 325.562426
| | 29qyb3 = 29esque yellowish 3rd
| | 29qyb3 = 29u zoyo 3rd
| | doublewide minor third
| | doublewide minor third
|-
|-
| | [[17/14|17/14]]
| | [[17/14|17/14]]
| | 336.129503
| | 336.129503
| | 17ir3 = 17ish red 3rd
| | 17ir3 = soru 3rd
| | septendecimal supraminor third
| | septendecimal supraminor third
|-
|-
| | [[73/60|73/60]]
| | [[73/60|73/60]]
| | 339.520756
| | 339.520756
| | 73ig3 = 73ish green 3rd
| | 73ig3 = 73o gu 3rd
| | amity supraminor third
| | amity supraminor third
|-
|-
| | 625/512
| | 625/512
| | 345.254855
| | 345.254855
| | Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow 2nd
| | Ly<span style="vertical-align: super;">4</span>2 = large quadruple yo 2nd
| |<nowiki> 5-limit neutral third, |-9, 0, 4</nowiki>&gt;
| |<nowiki> 5-limit neutral third, |-9, 0, 4</nowiki>&gt;
|-
|-
| | [[11/9|11/9]]
| | [[11/9|11/9]]
| | 347.407941
| | 347.407941
| | j3 = jade 3rd
| | j3 = lova 3rd
| | undecimal neutral third
| | undecimal neutral third
|-
|-
| | [[60/49|60/49]]
| | [[60/49|60/49]]
| | 350.616902
| | 350.616902
| | rry2 = reddish-red 2nd
| | rry2 = ruruyo 2nd


(aka p3 = purple 3rd)
(aka p3 = purple 3rd)
Line 431: Line 431:
| | [[49/40|49/40]]
| | [[49/40|49/40]]
| | 351.338099
| | 351.338099
| | bbg4 = bluish blue 4th
| | bbg4 = zozogu 4th


(aka p3 = purple 3rd)
(aka p3 = purple 3rd)
Line 438: Line 438:
| | [[27/22|27/22]]
| | [[27/22|27/22]]
| | 354.547060
| | 354.547060
| | a3 = amber 3rd
| | a3 = lu 3rd
| | rastmic neutral third
| | rastmic neutral third
|-
|-
| | [[16/13|16/13]]
| | [[16/13|16/13]]
| | 359.472338
| | 359.472338
| | o3 = ochre 3rd
| | o3 = thu 3rd
| | tridecimal neutral third
| | tridecimal neutral third
|-
|-
| | [[21/17|21/17]]
| | [[21/17|21/17]]
| | 365.825498
| | 365.825498
| | 17qb3 = 17esque blue 3rd
| | 17qb3 = suzo 3rd
| | septendecimal submajor third
| | septendecimal submajor third
|-
|-
| | [[56/45|56/45]]
| | [[56/45|56/45]]
| | 378.602191
| | 378.602191
| | bg4 = bluish 4th
| | bg4 = zogu 4th
| | narrow perde segah, marvelous major third
| | narrow perde segah, marvelous major third
|-
|-
| | 51/41
| | 51/41
| | 377.848005
| | 377.848005
| | 41q17i4 = 41esque 17ish 4th
| | 41q17i4 = 41u so 4th
| | maja third
| | maja third
|-
|-
| | [[71/57|71/57]]
| | [[71/57|71/57]]
| | 380.228526
| | 380.228526
| | 71i19q3 = 71ish 19esque 3rd
| | 71i19q3 = 71o nu 3rd
| | witchcraft major third
| | witchcraft major third
|-
|-
| | [[76/61|76/61]]
| | [[76/61|76/61]]
| | 380.628211
| | 380.628211
| | 61q19i4 = 61esque 19ish 4th
| | 61q19i4 = 61u no 4th
| | magic major third
| | magic major third
|-
|-
| | [[96/77|96/77]]
| | [[96/77|96/77]]
| | 381.811152
| | 381.811152
| | ar3 = amber-red 3rd
| | ar3 = luru 3rd
| | undecimal perde segah, keenanismic major third
| | undecimal perde segah, keenanismic major third
|-
|-
| | [[5/4|5/4]]
| | [[5/4|5/4]]
| | 386.313714
| | 386.313714
| | y3 = yellow 3rd
| | y3 = yo 3rd
| | major third, octave-reduced 5th harmonic, pental major third
| | major third, octave-reduced 5th harmonic, pental major third
|-
|-
| | [[81/64|81/64]]
| | [[81/64|81/64]]
| | 407.820003
| | 407.820003
| | Lw3 = large white 3rd
| | Lw3 = large wa 3rd
| | Pythagorean major third, octave-reduced 81st harmonic
| | Pythagorean major third, octave-reduced 81st harmonic
|-
|-
| | [[80/63|80/63]]
| | [[80/63|80/63]]
| | 413.577806
| | 413.577806
| | ry3 = reddish 3rd
| | ry3 = ruyo 3rd
| | werckismic sharp major third
| | werckismic sharp major third
|-
|-
| | [[14/11|14/11]]
| | [[14/11|14/11]]
| | 417.507964
| | 417.507964
| | ab4 = amber-blue 4th
| | ab4 = luzo 4th
| | undecimal major third, undecimal diminished fourth
| | undecimal major third, undecimal diminished fourth
|-
|-
| | [[32/25|32/25]]
| | [[32/25|32/25]]
| | 427.372572
| | 427.372572
| | gg4 = deep green 4th
| | gg4 = gugu 4th
| | classic diminished fourth
| | classic diminished fourth
|-
|-
| | [[77/60|77/60]]
| | [[77/60|77/60]]
| | 431.875134
| | 431.875134
| | jbg4 = jade-bluish 4th
| | jbg4 = lozogu 4th
| | swetismic supermajor third
| | swetismic supermajor third
|-
|-
| | [[9/7|9/7]]
| | [[9/7|9/7]]
| | 435.084095
| | 435.084095
| | r3 = red 3rd
| | r3 = ru 3rd
| | supermajor third, septimal major third, septimal diminished fourth
| | supermajor third, septimal major third, septimal diminished fourth
|-
|-
| | [[31/24|31/24]]
| | [[31/24|31/24]]
| | 443.080572
| | 443.080572
| | 31i3 = 31ish 3rd
| | 31i3 = thirty-wo 3rd
| | sensi supermajor third
| | sensi supermajor third
|-
|-
| | [[22/17|22/17]]
| | [[22/17|22/17]]
| | 446.362533
| | 446.362533
| | 17qj3 = 17esque jade 3rd
| | 17qj3 = sulo 3rd
| | septendecimal supermajor third
| | septendecimal supermajor third
|-
|-
| | [[35/27|35/27]]
| | [[35/27|35/27]]
| | 449.274618
| | 449.274618
| | yb4 = yellowish 4th
| | yb4 = zoyo 4th
| | semi-diminished fourth
| | semi-diminished fourth
|-
|-
| | [[13/10|13/10]]
| | [[13/10|13/10]]
| | 454.213948
| | 454.213948
| | eg4 = emerald-green 4th
| | eg4 = thogu 4th
| | Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third
| | Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third
|-
|-
| | [[64/49|64/49]]
| | [[64/49|64/49]]
| | 462.348187
| | 462.348187
| | rr3 = deep red 3rd
| | rr3 = ruru 3rd
| | septatonic major third
| | septatonic major third
|-
|-
| | [[17/13|17/13]]
| | [[17/13|17/13]]
| | 464.427748
| | 464.427748
| | 17io4 = 17ish ochre 4th
| | 17io4 = sothu 4th
| | septendecimal sub-fourth
| | septendecimal sub-fourth
|-
|-
| | [[21/16|21/16]]
| | [[21/16|21/16]]
| | 470.780907
| | 470.780907
| | b4 = blue 4th
| | b4 = zo 4th
| | sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic
| | sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic
|-
|-
| | [[33/25|33/25]]
| | [[33/25|33/25]]
| | 480.645516
| | 480.645516
| | jgg4 = jadish green 4th
| | jgg4 = logugu 4th
| | "5-EDO"-esque fourth
| | "5-EDO"-esque fourth
|-
|-
| | 117/88
| | 117/88
| | 493.119721
| | 493.119721
| | ea4 = emerald amber 4th
| | ea4 = tholu 4th
| |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>&gt;
| |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>&gt;
|-
|-
| | [[4/3|4/3]]
| | [[4/3|4/3]]
| | 498.044999
| | 498.044999
| | w4 = white 4th
| | w4 = wa 4th
| | just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| | just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
|-
|-
| | [[75/56|75/56]]
| | [[75/56|75/56]]
| | 505.756522
| | 505.756522
| | ryy3 = reddish-yellow 3rd
| | ryy3 = ruyoyo 3rd
| | marvelous fourth
| | marvelous fourth
|-
|-
| | [[27/20|27/20]]
| | [[27/20|27/20]]
| | 519.551289
| | 519.551289
| | g4 = green 4th
| | g4 = gu 4th
| | acute fourth
| | acute fourth
|-
|-
| | [[19/14|19/14]]
| | [[19/14|19/14]]
| | 528.687110
| | 528.687110
| | 19ir4 = 19ish red 4th
| | 19ir4 = noru 4th
| | 19-limit wide fourth
| | 19-limit wide fourth
|-
|-
| | [[49/36|49/36]]
| | [[49/36|49/36]]
| | 533.741811
| | 533.741811
| | bb5 = deep blue 5th
| | bb5 = zozo 5th
| | Arabic lute acute fourth
| | Arabic lute acute fourth
|-
|-
| | [[15/11|15/11]]
| | [[15/11|15/11]]
| | 536.950772
| | 536.950772
| | ay4 = amberish 4th
| | ay4 = luyo 4th
| | undecimal augmented fourth, subaugmented fourth
| | undecimal augmented fourth, subaugmented fourth
|-
|-
| | [[48/35|48/35]]
| | [[48/35|48/35]]
| | 546.815381
| | 546.815381
| | gr4 = greenish 4th
| | gr4 = rugu 4th
| | septimal super-fourth
| | septimal super-fourth
|-
|-
| | [[11/8|11/8]]
| | [[11/8|11/8]]
| | 551.317942
| | 551.317942
| | j4 = jade 4th
| | j4 = lova 4th
| | super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
| | super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
|-
|-
| | [[18/13|18/13]]
| | [[18/13|18/13]]
| | 563.382340
| | 563.382340
| | o4 = ochre 4th
| | o4 = thu 4th
| | tridecimal augmented fourth
| | tridecimal augmented fourth
|-
|-
| | [[25/18|25/18]]
| | [[25/18|25/18]]
| | 568.717426
| | 568.717426
| | yy4 = deep yellow 4th
| | yy4 = yoyo 4th
| | classic augmented fourth, pental augmented fourth
| | classic augmented fourth, pental augmented fourth
|-
|-
| | [[88/63|88/63]]
| | [[88/63|88/63]]
| | 578.582034
| | 578.582034
| | jr4 = jade-red 4th
| | jr4 = loru 4th
| | werckismic augmented fourth
| | werckismic augmented fourth
|-
|-
| | [[7/5|7/5]]
| | [[7/5|7/5]]
| | 582.512193
| | 582.512193
| | bg5 = bluish 5th
| | bg5 = zogu 5th
| | augmented fourth, septimal tritone, Huygen's tritone
| | augmented fourth, septimal tritone, Huygen's tritone
|-
|-
| | [[45/32|45/32]]
| | [[45/32|45/32]]
| | 590.223716
| | 590.223716
| | y4 = yellow 4th
| | y4 = yo 4th
| |  
| |  
|-
|-
| | [[108/77|108/77]]
| | [[108/77|108/77]]
| | 585.721154
| | 585.721154
| | ar4 = amber-red 4th
| | ar4 = luru 4th
| |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>&gt;
| |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>&gt;
|-
|-
| | [[24/17|24/17]]
| | [[24/17|24/17]]
| | 596.999591
| | 596.999591
| | 17q4 = 17esque 4th
| | 17q4 = su 4th
| | smaller septendecimal tritone
| | smaller septendecimal tritone
|-
|-
| | [[17/12|17/12]]
| | [[17/12|17/12]]
| | 603.000409
| | 603.000409
| | 17i5 = 17ish 5th
| | 17i5 = sova 5th
| | larger septendecimal tritone
| | larger septendecimal tritone
|-
|-
| | [[64/45|64/45]]
| | [[64/45|64/45]]
| | 609.776284
| | 609.776284
| | g5 = green 5th
| | g5 = gu 5th
| |  
| |  
|-
|-
| | [[10/7|10/7]]
| | [[10/7|10/7]]
| | 617.487807
| | 617.487807
| | ry4 = reddish 4th
| | ry4 = ruyo 4th
| | diminished fifth, Euler's tritone, superaugmented fourth
| | diminished fifth, Euler's tritone, superaugmented fourth
|-
|-
| | [[23/16|23/16]]
| | [[23/16|23/16]]
| | 628.274347
| | 628.274347
| | 23i5 = 23ish 5th
| | 23i5 = twenty-tho 5th
| | 23-limit superaugmented fourth, octave-reduced 23rd harmonic
| | 23-limit superaugmented fourth, octave-reduced 23rd harmonic
|-
|-
| | [[36/25|36/25]]
| | [[36/25|36/25]]
| | 631.282574
| | 631.282574
| | gg5 = deep green 5th
| | gg5 = gugu 5th
| | pental diminished fifth, classic diminshed fifth
| | pental diminished fifth, classic diminshed fifth
|-
|-
| | [[13/9|13/9]]
| | [[13/9|13/9]]
| | 636.617660
| | 636.617660
| | e5 = emerald 5th
| | e5 = tho 5th
| | tridecimal diminished fifth
| | tridecimal diminished fifth
|-
|-
| | [[16/11|16/11]]
| | [[16/11|16/11]]
| | 648.682058
| | 648.682058
| | a5 = amber 5th
| | a5 = lu 5th
| | sub-fifth, octave-reduced 11th subharmonic
| | sub-fifth, octave-reduced 11th subharmonic
|-
|-
| | [[35/24|35/24]]
| | [[35/24|35/24]]
| | 653.184619
| | 653.184619
| | yb5 = yellowish 5th
| | yb5 = zoyo 5th
| | septimal sub-fifth
| | septimal sub-fifth
|-
|-
| | [[22/15|22/15]]
| | [[22/15|22/15]]
| | 663.049228
| | 663.049228
| | jg5 = jadish 5th
| | jg5 = logu 5th
| | undecimal diminished fifth, semidiminished fifth
| | undecimal diminished fifth, semidiminished fifth
|-
|-
| | [[72/49|72/49]]
| | [[72/49|72/49]]
| | 666.258889
| | 666.258889
| | rr4 = deep red 4th
| | rr4 = ruru 4th
| | septimal catafifth
| | septimal catafifth
|-
|-
| | [[81/55|81/55]]
| | [[81/55|81/55]]
| | 670.188347
| | 670.188347
| | ag5 = amber green 5th
| | ag5 = lugu 5th
| | undecimal catafifth
| | undecimal catafifth
|-
|-
| | [[28/19|28/19]]
| | [[28/19|28/19]]
| | 671.312890
| | 671.312890
| | 19qb5 = 19esque blue 5th
| | 19qb5 = nuzo 5th
| | 19-limit narrow fifth
| | 19-limit narrow fifth
|-
|-
| | [[40/27|40/27]]
| | [[40/27|40/27]]
| | 680.448711
| | 680.448711
| | y5 = yellow 5th
| | y5 = yo 5th
| | grave fifth
| | grave fifth
|-
|-
| | [[112/75|112/75]]
| | [[112/75|112/75]]
| | 694.243478
| | 694.243478
| | bgg6 = bluish-green 6th
| | bgg6 = zogugu 6th
| | marvelous fifth
| | marvelous fifth
|-
|-
| | [[just_perfect_fifth|3/2]]
| | [[just_perfect_fifth|3/2]]
| | 701.955001
| | 701.955001
| | w5 = white 5th
| | w5 = wa 5th
| | [[perfect_fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente
| | [[perfect_fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente
|-
|-
| | [[182/121|182/121]]
| | [[182/121|182/121]]
| | 706.717684
| | 706.717684
| | eaab6 = emerald blue deep amber 6th
| | eaab6 = tholuluzo 6th
| |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>&gt;
| |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>&gt;
|-
|-
| | 176/117
| | 176/117
| | 706.880279
| | 706.880279
| | oj5 = ochre-jade 5th
| | oj5 = thulo 5th
| |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>&gt;
| |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>&gt;
|-
|-
| | [[50/33|50/33]]
| | [[50/33|50/33]]
| | 719.354484
| | 719.354484
| | ayy5 = amber deep yellow 5th
| | ayy5 = luyoyo 5th
| | "[[5edo|5-EDO]]"-esque fifth
| | "[[5edo|5-EDO]]"-esque fifth
|-
|-
| | [[32/21|32/21]]
| | [[32/21|32/21]]
| | 729.219093
| | 729.219093
| | r5 = red 5th
| | r5 = ru 5th
| | super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic
| | super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic
|-
|-
| | [[26/17|26/17]]
| | [[26/17|26/17]]
| | 735.572252
| | 735.572252
| | 17qe5 = 17esque emerald 5th
| | 17qe5 = sutho 5th
| | septendecimal super-fifth
| | septendecimal super-fifth
|-
|-
| | [[49/32|49/32]]
| | [[49/32|49/32]]
| | 737.651813
| | 737.651813
| | bb6 = deep blue 6th
| | bb6 = zozo 6th
| | superduper fifth, octave-reduced 49th harmonic
| | superduper fifth, octave-reduced 49th harmonic
|-
|-
| | [[20/13|20/13]]
| | [[20/13|20/13]]
| | 745.786052
| | 745.786052
| | oy5 = ochreish 5th
| | oy5 = thuyo 5th
| | Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
| | Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
|-
|-
| | [[17/11|17/11]]
| | [[17/11|17/11]]
| | 753.637467
| | 753.637467
| | 17ia6 = 17ish amber 6th
| | 17ia6 = solu 6th
| | septendecimal subminor sixth
| | septendecimal subminor sixth
|-
|-
| | [[14/9|14/9]]
| | [[14/9|14/9]]
| | 764.915905
| | 764.915905
| | b6 = blue 6th
| | b6 = zo 6th
| | subminor sixth, septimal minor sixth, augmented fifth
| | subminor sixth, septimal minor sixth, augmented fifth
|-
|-
| | [[25/16|25/16]]
| | [[25/16|25/16]]
| | 772.627428
| | 772.627428
| | yy5 = deep yellow 5th
| | yy5 = yoyo 5th
| | pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
| | pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
|-
|-
| | [[11/7|11/7]]
| | [[11/7|11/7]]
| | 782.492036
| | 782.492036
| | jr5 = jade-red 5th
| | jr5 = loru 5th
| | undecimal subminor sixth, undecimal augmented fifth
| | undecimal subminor sixth, undecimal augmented fifth
|-
|-
| | 63/40
| | 63/40
| | 786.422194
| | 786.422194
| | bg6 = bluish 6th
| | bg6 = zogu 6th
| |  
| |  
|-
|-
| | [[128/81|128/81]]
| | [[128/81|128/81]]
| | 792.179997
| | 792.179997
| | sw6 = small white 6th
| | sw6 = small wa 6th
| |  
| |  
|-
|-
| | [[8/5|8/5]]
| | [[8/5|8/5]]
| | 813.686286
| | 813.686286
| | g6 = green 6th
| | g6 = gu 6th
| | minor sixth, octave-reduced 5th subharmonic
| | minor sixth, octave-reduced 5th subharmonic
|-
|-
| | 413/256
| | 413/256
| | 827.997565
| | 827.997565
| | 59ib6 = 59ish blue 6th
| | 59ib6 = fifty-nozo 6th
| | octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)
| | octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)
|-
|-
| | [[13/8|13/8]]
| | [[13/8|13/8]]
| | 840.527662
| | 840.527662
| | e6 = emerald 6th
| | e6 = tho 6th
| | tridecimal neutral sixth, octave-reduced 13th harmonic
| | tridecimal neutral sixth, octave-reduced 13th harmonic
|-
|-
| | [[80/49|80/49]]
| | [[80/49|80/49]]
| | 848.661901
| | 848.661901
| | rryA5 = reddish-red 5th
| | rryA5 = ruruyo aug 5th


(aka p6 = purple 6th)
(aka p6 = purple 6th)
Line 795: Line 795:
| | [[49/30|49/30]]
| | [[49/30|49/30]]
| | 849.383198
| | 849.383198
| | bbg7 = bluish-blue 7th
| | bbg7 = zozogu 7th


(aka p6 = purple 6th)
(aka p6 = purple 6th)
Line 802: Line 802:
| | [[18/11|18/11]]
| | [[18/11|18/11]]
| | 852.592059
| | 852.592059
| | a6 = amber 6th
| | a6 = lu 6th
| | undecimal neutral sixth
| | undecimal neutral sixth
|-
|-
| | [[28/17|28/17]]
| | [[28/17|28/17]]
| | 863.870497
| | 863.870497
| | 17qb6 = 17esque blue 6th
| | 17qb6 = suzo 6th
| | septendecimal submajor sixth
| | septendecimal submajor sixth
|-
|-
| | [[5/3|5/3]]
| | [[5/3|5/3]]
| | 884.358713
| | 884.358713
| | y6 = yellow 6th
| | y6 = yo 6th
| | major sixth
| | major sixth
|-
|-
| | [[42/25|42/25]]
| | [[42/25|42/25]]
| | 898.153480
| | 898.153480
| | bgg7 = bluish-green 7th
| | bgg7 = zogugu 7th
| |  
| |  
|-
|-
| | [[27/16|27/16]]
| | [[27/16|27/16]]
| | 905.865003
| | 905.865003
| | w6 = white 6th
| | w6 = wa 6th
| | Pythagorean major sixth, octave-reduced 27th harmonic
| | Pythagorean major sixth, octave-reduced 27th harmonic
|-
|-
| | [[22/13|22/13]]
| | [[22/13|22/13]]
| | 910.790821
| | 910.790821
| | oj6 = ochre-jade 6th
| | oj6 = thulo 6th
| | tridecimal major sixth
| | tridecimal major sixth
|-
|-
| | [[17/10|17/10]]
| | [[17/10|17/10]]
| | 918.641696
| | 918.641696
| | 17ig7 = 17ish green 7th
| | 17ig7 = sogu 7th
| | septendecimal diminished seventh, septendecimal major sixth
| | septendecimal diminished seventh, septendecimal major sixth
|-
|-
| | [[12/7|12/7]]
| | [[12/7|12/7]]
| | 933.129094
| | 933.129094
| | r6 = red 6th
| | r6 = ru 6th
| | supermajor sixth, septimal major sixth, diminished seventh
| | supermajor sixth, septimal major sixth, diminished seventh
|-
|-
| | [[26/15|26/15]]
| | [[26/15|26/15]]
| | 952.258947
| | 952.258947
| | eg7 = emeraldish 7th
| | eg7 = thogu 7th
| | semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
| | semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
|-
|-
| | [[7/4|7/4]]
| | [[7/4|7/4]]
| | 968.825906
| | 968.825906
| | b7 = blue 7th
| | b7 = zo 7th
| | subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic
| | subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic
|-
|-
| | [[225/128|225/128]]
| | [[225/128|225/128]]
| | 976.537429
| | 976.537429
| | Lyy6 = large deep yellow 6th
| | Lyy6 = large yoyo 6th
| |<nowiki> marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2</nowiki>&gt;
| |<nowiki> marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2</nowiki>&gt;
|-
|-
| | [[30/17|30/17]]
| | [[30/17|30/17]]
| | 983.313305
| | 983.313305
| | 17iy6 = 17ish yellow 6th
| | 17uy6 = suyo 6th
| | septendecimal minor seventh
| | septendecimal minor seventh
|-
|-
| | [[16/9|16/9]]
| | [[16/9|16/9]]
| | 996.089998
| | 996.089998
| | w7 = white 7th
| | w7 = wa 7th
| | Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
| | Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|-
|-
| | [[25/14|25/14]]
| | [[25/14|25/14]]
| | 1003.801521
| | 1003.801521
| | ryy6 = reddish-yellow 6th
| | ryy6 = ruyoyo 6th
| | Middle minor seventh
| | Middle minor seventh
|-
|-
| | [[34/19|34/19]]
| | [[34/19|34/19]]
| | 1007.442393
| | 1007.442393
| | 19q17i7 = 19esque 17ish 7th
| | 19q17i7 = nuso 7th
| | Quasi-meantone minor seventh
| | Quasi-meantone minor seventh
|-
|-
| | [[9/5|9/5]]
| | [[9/5|9/5]]
| | 1017.596288
| | 1017.596288
| | g5 = green 7th
| | g5 = gu 7th
| | minor seventh, large minor seventh
| | minor seventh, large minor seventh
|-
|-
| | [[29/16|29/16]]
| | [[29/16|29/16]]
| | 1029.577194
| | 1029.577194
| | 29i7 = 29ish 7th
| | 29i7 = 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|20/11]]
| | 1034.995772
| | 1034.995772
| | ay7 = amberish 7th
| | ay7 = luyo 7th
| | undecimal minor seventh, small undecimal neutral seventh
| | undecimal minor seventh, small undecimal neutral seventh
|-
|-
| | [[64/35|64/35]]
| | [[64/35|64/35]]
| | 1044.860380
| | 1044.860380
| | gr7 = greenish 7th
| | gr7 = rugu 7th
| |  
| |  
|-
|-
| | [[11/6|11/6]]
| | [[11/6|11/6]]
| | 1049.362941
| | 1049.362941
| | j7 = jade 7th
| | j7 = lo 7th
| | undecimal neutral seventh, 21/4-tone
| | undecimal neutral seventh, 21/4-tone
|-
|-
| | [[24/13|24/13]]
| | [[24/13|24/13]]
| | 1061.427339
| | 1061.427339
| | o7 = ochre 7th
| | o7 = thu 7th
| | tridecimal neutral seventh
| | tridecimal neutral seventh
|-
|-
| | [[13/7|13/7]]
| | [[13/7|13/7]]
| | 1071.701755
| | 1071.701755
| | er7 = emerald-red 7th
| | er7 = thoru 7th
| | 16/3-tone, tridecimal submajor seventh
| | 16/3-tone, tridecimal submajor seventh
|-
|-
| | [[28/15|28/15]]
| | [[28/15|28/15]]
| | 1080.557192
| | 1080.557192
| | bg8 = bluish octave
| | bg8 = zogu octave
| | grave major seventh, octave minus a reddish aug unison
| | grave major seventh, octave minus a ruyo aug unison
|-
|-
| | [[15/8|15/8]]
| | [[15/8|15/8]]
| | 1088.268715
| | 1088.268715
| | y7 = yellow 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|32/17]]
| | 1095.044590
| | 1095.044590
| | 17q7 = 17esque 7th
| | 17q7 = su 7th
| | small septendecimal major seventh, 8ve-reduced 17th subharmonic
| | small septendecimal major seventh, 8ve-reduced 17th subharmonic
|-
|-
| | [[17/9|17/9]]
| | [[17/9|17/9]]
| | 1101.045408
| | 1101.045408
| | 17i8 = 17ish octave
| | 17i8 = sova octave
| | large septendecimal major seventh
| | large septendecimal major seventh
|-
|-
| | [[243/128|243/128]]
| | [[243/128|243/128]]
| | 1109.775004
| | 1109.775004
| | Lw7 = large white 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|40/21]]
| | 1115.532907
| | 1115.532907
| | ry7 = reddish 7th
| | ry7 = ruyo 7th
| | acute major seventh
| | acute major seventh
|-
|-
| | [[61/32|61/32]]
| | [[61/32|61/32]]
| | 1116.884905
| | 1116.884905
| | 61i7 = 61ish 7th
| | 61i7 = sixty-wo 7th
| | octave-reduced 61st harmonic
| | octave-reduced 61st harmonic
|-
|-
| | [[48/25|48/25]]
| | [[48/25|48/25]]
| | 1129.327573
| | 1129.327573
| | gg8 = deep green octave
| | gg8 = gugu octave
| | octave minus a deep yellow augmented unison
| | octave minus a yoyo augmented unison
|-
|-
| | [[27/14|27/14]]
| | [[27/14|27/14]]
| | 1137.039096
| | 1137.039096
| | r7 = red 7th
| | r7 = ru 7th
| |  
| |  
|-
|-
| | [[31/16|31/16]]
| | [[31/16|31/16]]
| | 1145.035572
| | 1145.035572
| | 31i7 = 31ish 7th
| | 31i7 = 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|64/33]]
| | 1146.727057
| | 1146.727057
| | a8 = amber octave
| | a8 = lu octave
| | octave-reduced 33rd subharmonic
| | octave-reduced 33rd subharmonic
|-
|-
| | [[35/18|35/18]]
| | [[35/18|35/18]]
| | 1151.239619
| | 1151.239619
| | yb8 = yellowish octave
| | yb8 = zoyo octave
| | octave minus a greenish comma
| | octave minus a rugu comma
|-
|-
| | [[96/49|96/49]]
| | [[96/49|96/49]]
| | 1164.303188
| | 1164.303188
| | rr7 = deep red 7th
| | rr7 = ruru 7th
| |  
| |  
|-
|-
| | [[49/25|49/25]]
| | [[49/25|49/25]]
| | 1165.024385
| | 1165.024385
| | bbgg9 = deep bluish 9th
| | bbgg9 = double zogu 9th
| |  
| |  
|-
|-
| | [[160/81|160/81]]
| | [[160/81|160/81]]
| | 1178.493814
| | 1178.493814
| | y8 = yellow octave
| | y8 = yo octave
| | octave minus syntonic comma
| | octave minus syntonic comma
|-
|-
| | [[Octave|2/1]]
| | [[Octave|2/1]]
| | 1200
| | 1200
| | w8 = white octave
| | w8 = wa octave
| | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
| | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
|}
|}

Revision as of 06:57, 14 October 2018

Introduction

In Just Intonation, a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.

What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.

This page lists links to dedicated pages for each interval.

Explanation of the color names is here.

Gallery of Just Intervals

See also List of Superparticular Intervals and List of intervals (Huygens-Fokker foundation)

frequency ratio cents value

(six decimal places)

color notation some common names
1/1 0 w1 = wa unison unity, perfect prime, Tonic
32805/32768 1.953721 Ly-2 = yo subcomma schisma, |-15, 8, 1>
225/224 7.711523 ryy-2 = ruyoyo subcomma septimal subcomma, |-5, 2, 2, -1>
100/99 17.399484 1uyy1 = luyoyo comma Ptolemy's comma
99/98 17.576131 1orr-2 = loruru comma Mothwellsma
2048/2025 19.552569 sgg2 = small gugu comma |11, -4, -2>
81/80 21.506286 g1 = gu comma Syntonic comma, Didymus comma
531441/524288 23.460010 LLw-2 = wa comma Pythagorean comma, Ditonic comma, |-19, 12>
66/65 26.431568 3u1og1 = thulogu comma Winmeanma
65/64 26.841376 3oy1 = thoyo comma Wilsorma, 13th-partial chroma
64/63 27.264092 r1 = ru comma Septimal comma, Archytas' comma
3125/3072 29.613568 Ly5-2 = quintuple yo comma Magic comma, small diesis, |-10, -1, 5>
50/49 34.975615 rryy-2 = double ruyo comma septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
49/48 35.696812 zz2 = zozo comma large septimal diesis, slendro diesis
45/44 38.905773 1uy1 = luyo comma undecimal 1/5th tone
128/125 41.058858 g32 = triple gu comma Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3>
525/512 43.408335 Lyyb1 = large zoyoyo comma Avicenna's enharmonic diesis, |-9, 1, 2, 1>
36/35 48.770381 rg1 = rugu comma double comma, septimal quarter tone
250/243 49.166137 y31 = triple yo comma Porcupine comma, |1, -5, 3>
59049/57344 50.724102 Lr-2 = large ru comma Harrison's comma, |-13, 10, 0, -1>
100/97 52.732017 97qyy1 = 97u yoyo quarter-tone shrutar quarter tone
33/32 53.272943 j1 = lo quarter-tone undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625 62.565148 g42 = quadruple gu 2nd diminished comma, major diesis, |8, 4, -4>
28/27 62.960904 b2 = zo 2nd septimal chroma, small septimal chromatic semitone, septimal subminor second
25/24 70.672427 yy1 = yoyo semitone chroma, chromatic semitone, Zarlinian semitone
68/65 78.114034 17iog2 = sothugu 2nd valentine semitone
22/21 80.537035 jr1 = loru semitone undecimal minor semitone
64/61 83.115195 61q2 = sixty-wu 2nd harry minor semitone
21/20 84.467193 bg2 = zogu 2nd minor semitone, large septimal chromatic semitone
256/243 90.224996 sw2 = small wa 2nd Pythagorean limma, Pythagorean minor second, |8, -5>
135/128 92.178716 Ly1 = large yo semitone major limma, |-7, 3, 1>
18/17 98.954592 17q1 = su semitone small septendecimal semitone, Arabic lute index finger
17/16 104.955410 17i2 = sova 2nd large septendecimal semitone, octave-reduced 17th harmonic
16/15 111.731285 g2 = gu 2nd diatonic semitone, classic minor second, octave-reduced 15th subharmonic
2187/2048 113.685006 Lw1 = large wa semitone apotome, |-11, 7>
77/72 116.233847 jb2 = lozo 2nd undecimal secor
15/14 119.442808 ry1 = ruyo semitone septimal diatonic semitone
14/13 128.298245 ob2 = thuzo 2nd 2/3-tone, trienthird, tridecimal supraminor second
27/25 133.237575 gg2 = gugu 2nd large limma
13/12 138.572661 e2 = tho 2nd tridecimal subtone, tridecimal 2/3-tone
243/224 140.949098 Lr1 = large ru semitone septimal subtone, |-5, 5, 0, -1>
88/81 143.497939 j2 = lova 2nd undecimal subtone
49/45 147.428097 bbg3 = zozogu 3rd swetismic neutral second
12/11 150.637059 a2 = lu 2nd small undecimal neutral second, 3/4-tone
35/32 155.139620 zy2 = zoyo 2nd septimal neutral second
78/71 162.786119 71qe2= 71u tho 2nd porcupine neutral second
11/10 165.004228 jg2 = logu 2nd large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49 168.213190 rr1 = ruru augmented unison Zalzal's mujannab
10/9 182.403712 y2 = yo 2nd minor whole tone
49/44 186.333871 abb3 = luzozo 3rd werckismic minor second
19/17 192.557607 19i17q2 = nosu 2nd quasi-meantone
28/25 196.198479 bgg3 = zogugu 3rd middle major second
55/49 199.979843 jrry1 = loruruyo unison werckismic tone
9/8 203.910002 w2 = wa 2nd major whole tone, Pythagorean tone, octave-reduced 9th harmonic
17/15 216.686695 17ig3 = sogu 3rd septendecimal whole tone, septendecimal eventone
8/7 231.174094 r2 = ru 2nd supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic
63/55 235.104252 abg3 = luzogu 3rd werckismic supermajor second
55/48 235.676655 jy2 = loyo 2nd keenanismic supermajor second
15/13 247.741053 oy2 = thuyo 2nd semifourth, tridecimal ultramajor second, tridecimal inframinor third
22/19 253.804926 19qj2 = nulo 2nd minimal minor third, godzilla third
64/55 262.368344 ag3 = lugu 3rd keenanismic subminor third, octave-reduced 55th subharmonic
7/6 266.870906 b3 = zo 3rd subminor third, septimal minor third, augmented second
90/77 270.079867 ary2 = luruyo 2nd swetismic subminor third
62/53 271.531027 53q31i2 = 53u31o 2nd orwell subminor third
75/64 274.582429 yy2 = yoyo 2nd classic augmented second
20/17 281.358304 17qy2 = suyo 2nd septendecimal augmented second, septendecimal minor third
13/11 289.209179 ea3 = tholu 3rd tridecimal minor third
32/27 294.134997 w3 = wa 3rd Pythagorean minor third, octave-reduced 27th subharmonic
19/16 297.513016 19i3 = nova 3rd otonal minor third, octave-reduced 19th harmonic
25/21 301.846520 ryy2 = ruyoyo 2nd quasi-tempered minor third
61/51 309.974395 61i17q2 = 61o su 2nd myna third
6/5 315.641287 g3 = gu 3rd minor third, pental minor third
77/64 320.143849 jb3 = lozo 3rd keenanismic minor third, octave-reduced 77th harmonic
135/112 323.352810 ry2 = ruyo aug 2nd large septimal minor third, marvelous minor third, |-4, 3, 1, -1>
35/29 325.562426 29qyb3 = 29u zoyo 3rd doublewide minor third
17/14 336.129503 17ir3 = soru 3rd septendecimal supraminor third
73/60 339.520756 73ig3 = 73o gu 3rd amity supraminor third
625/512 345.254855 Ly42 = large quadruple yo 2nd 5-limit neutral third, |-9, 0, 4>
11/9 347.407941 j3 = lova 3rd undecimal neutral third
60/49 350.616902 rry2 = ruruyo 2nd

(aka p3 = purple 3rd)

smaller septimal neutral third
49/40 351.338099 bbg4 = zozogu 4th

(aka p3 = purple 3rd)

larger septimal neutral third
27/22 354.547060 a3 = lu 3rd rastmic neutral third
16/13 359.472338 o3 = thu 3rd tridecimal neutral third
21/17 365.825498 17qb3 = suzo 3rd septendecimal submajor third
56/45 378.602191 bg4 = zogu 4th narrow perde segah, marvelous major third
51/41 377.848005 41q17i4 = 41u so 4th maja third
71/57 380.228526 71i19q3 = 71o nu 3rd witchcraft major third
76/61 380.628211 61q19i4 = 61u no 4th magic major third
96/77 381.811152 ar3 = luru 3rd undecimal perde segah, keenanismic major third
5/4 386.313714 y3 = yo 3rd major third, octave-reduced 5th harmonic, pental major third
81/64 407.820003 Lw3 = large wa 3rd Pythagorean major third, octave-reduced 81st harmonic
80/63 413.577806 ry3 = ruyo 3rd werckismic sharp major third
14/11 417.507964 ab4 = luzo 4th undecimal major third, undecimal diminished fourth
32/25 427.372572 gg4 = gugu 4th classic diminished fourth
77/60 431.875134 jbg4 = lozogu 4th swetismic supermajor third
9/7 435.084095 r3 = ru 3rd supermajor third, septimal major third, septimal diminished fourth
31/24 443.080572 31i3 = thirty-wo 3rd sensi supermajor third
22/17 446.362533 17qj3 = sulo 3rd septendecimal supermajor third
35/27 449.274618 yb4 = zoyo 4th semi-diminished fourth
13/10 454.213948 eg4 = thogu 4th Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third
64/49 462.348187 rr3 = ruru 3rd septatonic major third
17/13 464.427748 17io4 = sothu 4th septendecimal sub-fourth
21/16 470.780907 b4 = zo 4th sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic
33/25 480.645516 jgg4 = logugu 4th "5-EDO"-esque fourth
117/88 493.119721 ea4 = tholu 4th tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1>
4/3 498.044999 w4 = wa 4th just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
75/56 505.756522 ryy3 = ruyoyo 3rd marvelous fourth
27/20 519.551289 g4 = gu 4th acute fourth
19/14 528.687110 19ir4 = noru 4th 19-limit wide fourth
49/36 533.741811 bb5 = zozo 5th Arabic lute acute fourth
15/11 536.950772 ay4 = luyo 4th undecimal augmented fourth, subaugmented fourth
48/35 546.815381 gr4 = rugu 4th septimal super-fourth
11/8 551.317942 j4 = lova 4th super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
18/13 563.382340 o4 = thu 4th tridecimal augmented fourth
25/18 568.717426 yy4 = yoyo 4th classic augmented fourth, pental augmented fourth
88/63 578.582034 jr4 = loru 4th werckismic augmented fourth
7/5 582.512193 bg5 = zogu 5th augmented fourth, septimal tritone, Huygen's tritone
45/32 590.223716 y4 = yo 4th
108/77 585.721154 ar4 = luru 4th swetismic augmented fourth, |2, 3, 0, -1, -1>
24/17 596.999591 17q4 = su 4th smaller septendecimal tritone
17/12 603.000409 17i5 = sova 5th larger septendecimal tritone
64/45 609.776284 g5 = gu 5th
10/7 617.487807 ry4 = ruyo 4th diminished fifth, Euler's tritone, superaugmented fourth
23/16 628.274347 23i5 = twenty-tho 5th 23-limit superaugmented fourth, octave-reduced 23rd harmonic
36/25 631.282574 gg5 = gugu 5th pental diminished fifth, classic diminshed fifth
13/9 636.617660 e5 = tho 5th tridecimal diminished fifth
16/11 648.682058 a5 = lu 5th sub-fifth, octave-reduced 11th subharmonic
35/24 653.184619 yb5 = zoyo 5th septimal sub-fifth
22/15 663.049228 jg5 = logu 5th undecimal diminished fifth, semidiminished fifth
72/49 666.258889 rr4 = ruru 4th septimal catafifth
81/55 670.188347 ag5 = lugu 5th undecimal catafifth
28/19 671.312890 19qb5 = nuzo 5th 19-limit narrow fifth
40/27 680.448711 y5 = yo 5th grave fifth
112/75 694.243478 bgg6 = zogugu 6th marvelous fifth
3/2 701.955001 w5 = wa 5th just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121 706.717684 eaab6 = tholuluzo 6th tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 >
176/117 706.880279 oj5 = thulo 5th tridecimal gentle fifth, |4, -2, 0, 0, 1, -1>
50/33 719.354484 ayy5 = luyoyo 5th "5-EDO"-esque fifth
32/21 729.219093 r5 = ru 5th super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic
26/17 735.572252 17qe5 = sutho 5th septendecimal super-fifth
49/32 737.651813 bb6 = zozo 6th superduper fifth, octave-reduced 49th harmonic
20/13 745.786052 oy5 = thuyo 5th Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
17/11 753.637467 17ia6 = solu 6th septendecimal subminor sixth
14/9 764.915905 b6 = zo 6th subminor sixth, septimal minor sixth, augmented fifth
25/16 772.627428 yy5 = yoyo 5th pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
11/7 782.492036 jr5 = loru 5th undecimal subminor sixth, undecimal augmented fifth
63/40 786.422194 bg6 = zogu 6th
128/81 792.179997 sw6 = small wa 6th
8/5 813.686286 g6 = gu 6th minor sixth, octave-reduced 5th subharmonic
413/256 827.997565 59ib6 = fifty-nozo 6th octave-reduced 413th harmonic, homestuck sixth (2-8 * 7 * 59)
13/8 840.527662 e6 = tho 6th tridecimal neutral sixth, octave-reduced 13th harmonic
80/49 848.661901 rryA5 = ruruyo aug 5th

(aka p6 = purple 6th)

49/30 849.383198 bbg7 = zozogu 7th

(aka p6 = purple 6th)

18/11 852.592059 a6 = lu 6th undecimal neutral sixth
28/17 863.870497 17qb6 = suzo 6th septendecimal submajor sixth
5/3 884.358713 y6 = yo 6th major sixth
42/25 898.153480 bgg7 = zogugu 7th
27/16 905.865003 w6 = wa 6th Pythagorean major sixth, octave-reduced 27th harmonic
22/13 910.790821 oj6 = thulo 6th tridecimal major sixth
17/10 918.641696 17ig7 = sogu 7th septendecimal diminished seventh, septendecimal major sixth
12/7 933.129094 r6 = ru 6th supermajor sixth, septimal major sixth, diminished seventh
26/15 952.258947 eg7 = thogu 7th semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
7/4 968.825906 b7 = zo 7th subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic
225/128 976.537429 Lyy6 = large yoyo 6th marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2>
30/17 983.313305 17uy6 = suyo 6th septendecimal minor seventh
16/9 996.089998 w7 = wa 7th Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
25/14 1003.801521 ryy6 = ruyoyo 6th Middle minor seventh
34/19 1007.442393 19q17i7 = nuso 7th Quasi-meantone minor seventh
9/5 1017.596288 g5 = gu 7th minor seventh, large minor seventh
29/16 1029.577194 29i7 = twenty-no 7th 29-limit large minor seventh, octave-reduced 29th harmonic
20/11 1034.995772 ay7 = luyo 7th undecimal minor seventh, small undecimal neutral seventh
64/35 1044.860380 gr7 = rugu 7th
11/6 1049.362941 j7 = lo 7th undecimal neutral seventh, 21/4-tone
24/13 1061.427339 o7 = thu 7th tridecimal neutral seventh
13/7 1071.701755 er7 = thoru 7th 16/3-tone, tridecimal submajor seventh
28/15 1080.557192 bg8 = zogu octave grave major seventh, octave minus a ruyo aug unison
15/8 1088.268715 y7 = yo 7th major seventh, just major seventh, octave-reduced 15th harmonic
32/17 1095.044590 17q7 = su 7th small septendecimal major seventh, 8ve-reduced 17th subharmonic
17/9 1101.045408 17i8 = sova octave large septendecimal major seventh
243/128 1109.775004 Lw7 = large wa 7th Pythagorean major seventh, octave-reduced 243rd harmonic
40/21 1115.532907 ry7 = ruyo 7th acute major seventh
61/32 1116.884905 61i7 = sixty-wo 7th octave-reduced 61st harmonic
48/25 1129.327573 gg8 = gugu octave octave minus a yoyo augmented unison
27/14 1137.039096 r7 = ru 7th
31/16 1145.035572 31i7 = thirty-wo 7th 31-limit ultramajor seventh, octave-reduced 31st harmonic
64/33 1146.727057 a8 = lu octave octave-reduced 33rd subharmonic
35/18 1151.239619 yb8 = zoyo octave octave minus a rugu comma
96/49 1164.303188 rr7 = ruru 7th
49/25 1165.024385 bbgg9 = double zogu 9th
160/81 1178.493814 y8 = yo octave octave minus syntonic comma
2/1 1200 w8 = wa octave octave, diapason

Intervals larger than 2/1

frequency ratio cents value

(three decimal places)

13/6 1338.573
11/5 1365.004
16/7 1431.174
5/2 1586.314
8/3 1698.045
11/4 1751.318
16/5 2013.686
13/4 2040.528
10/3 2084.359
7/2 2168.826
11/3 2249.363
15/4 2288.269
4/1 2400.000
13/3 2538.573
9/2 2603.910
14/3 2666.871
5/1 2786.314
16/3 2898.045
11/2 2951.318
6/1 3101.955
13/2 3240.528
7/1 3368.826
15/2 3488.269
8/1 3600.000
9/1 3803.910
10/1 3986.314
11/1 4151.318
12/1 4301.955
13/1 4440.528
14/1 4568.826
15/1 4688.269
16/1 4800.000

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