User:Dave Keenan/gallery
Gallery of just intervals
See also list of superparticular intervals and List of intervals (Huygens-Fokker foundation)
If any FJS names are missing, please add them.[1]
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[2]
Intervals larger than an octave
In the color names, "co" or "c" stands for compound, a conventional music term.
| Frequency Ratio | Cents Value (3 dec. pl.) |
Sagittal notation |
Color Name | FJS Name | Some common names | |
|---|---|---|---|---|---|---|
| 27/13 | 1265.337 | [table2 1] | 3u8 | thu8ve | A813 | Luxembourg eighth |
| 23/11 | 1276.956 | 23o1u9 | twetholu 9th | A82311 | vicesimotertial minor ninth | |
| 19/9 | 1293.603 | 19o9 | ino 9th | m919 | undevicesimal minor ninth | |
| 17/8 | 1304.955 | 17o9 | iso 9th | m917 | septendecimal minor ninth | |
| 32/15 | 1311.731 | g9 | gu 9th | m95 | classic minor ninth | |
| 15/7 | 1319.443 | ry8 | ruyo 8ve | A857 | septimal minor ninth | |
| 13/6 | 1338.573 | 3o9 | tho 9th | m913 | tridecimal minor ninth, tridecimal neutral ninth | |
| 11/5 | 1365.004 | 1o9 | ilo 9th | m9115 | neutral ninth | |
| 20/9 | 1382.404 | y9 | yo 9th | M95 | Ptolemaic ninth | |
| 9/4 | 1403.910 | w9 | wa 9th | M9 | major ninth | |
| 25/11 | 1421.309 | 1uyy9 | luyoyo 9th | A92511 | undecimal major ninth | |
| 16/7 | 1431.174 | r9 | ru 9th | M97 | septimal major ninth | |
| 7/3 | 1466.871 | z10 | zo 10th | m107 | septimal minor tenth | |
| 19/8 | 1497.513 | 19o3 | ino 10th | undevicesimal minor tenth | ||
| 12/5 | 1515.641 | g10 | gu 10th | m105 | classic minor tenth | |
| 17/7 | 1536.130 | 17or10 | soru 10th | m10177 | septendecimal minor tenth | |
| 27/11 | 1554.547 | c1u3 | colu 3rd | M1011 | rastmic neutral tenth | |
| 5/2 | 1586.314 | y10 | yo 10th | M105 | classic major tenth | |
| 18/7 | 1635.084 | r10 | ru 10th | septimal supermajor tenth | ||
| 13/5 | 1654.214 | 3og11 | thogu 11th | d11135 | tridecimal eleventh | |
| 21/8 | 1670.781 | z11 | zo 11th | septimal subeleventh | ||
| 8/3 | 1698.045 | w11, cw4 | wa 11th, cowa 4th | P11 | perfect eleventh | |
| 19/7 | 1728.687 | 19or11 | noru 11th | undevicesimal supereleventh | ||
| 11/4 | 1751.318 | 1o11, c1o4 | ilo 11th, colo 4th | P1111 | undecimal semi-augmented eleventh | |
| 14/5 | 1782.512 | zg12, czg5 | zogu 12th, cozogu 5th | d1275 | short septimal navatone | |
| 17/6 | 1803.000 | 17o12 | iso 12th | d1217 | septendecimal navatone | |
| 20/7 | 1817.488 | ry11 | ruyo 11th | A1157 | tall septimal navatone | |
| 23/8 | 1828.274 | 23o12 | twetho 12th | A1123 | trivigintal navatone | |
| 35/12 | 1853.185 | zy12, czy5 | zoyo 12th, cozoyo 5th | septimal semi-diminished twelfth | ||
| 3/1 | 1901.955 | w12, cw5 | wa 12th, cowa 5th | P12 | 3rd harmonic, perfect twelfth, tritave | |
| 28/9 | 1964.916 | z13, cz6 | zo 13th, cozo 6th | septimal subminor thirteenth | ||
| 19/6 | 1995.558 | 19o13, c19o6 | ino 13th, cono 6th | undevicesimal minor thirteenth | ||
| 16/5 | 2013.686 | g13, cg6 | gu 13th, cogu 6th | m135 | classic minor thirteenth | |
| 13/4 | 2040.528 | 3o13, c3o6 | tho 13th, cotho 6th | m1313 | tridecimal neutral thirteenth | |
| 23/7 | 2059.448 | c23or13, c23or6 | cotwethoru 6th | trivigintal neutral/submajor thirteenth | ||
| 10/3 | 2084.359 | y13, cy6 | yo 13th, coyo 6th | M135 | just/classic(al)/ptolemaic major thirteenth | |
| 17/5 | 2118.642 | c17og7 | cosogu 7th | d14175 | septendecimal major thirteenth | |
| 24/7 | 2133.129 | r13, cr6 | ru 13th, coru 6th | septimal supermajor thirteenth | ||
| 7/2 | 2168.826 | cz7 | cozo 7th | m147 | harmonic fourteenth | |
| 32/9 | 2196.090 | cw7 | cowa 7th | 3-limit minor fourteenth | ||
| 18/5 | 2217.596 | cg7 | cogu 7th | m145 | 5-limit minor fourteenth | |
| 11/3 | 2249.363 | c1o7 | colo 7th | m1411 | undecimal neutral fourteenth | |
| 15/4 | 2288.269 | cy7 | coyo 7th | M145 | just/classic(al)/ptolemaic major fourteenth | |
| 19/5 | 2311.199 | c19og8 | nogu double 8ve | undevicesimal major fourteenth | ||
| 35/9 | 2351.230 | czy8 | zoyo double 8ve | septimal semi-augmented fourteenth | ||
| 4/1 | 2400.000 | cw8, ccw1 | wa double 8ve | P15 | 4th harmonic, two octaves, just double octave | |
| 81/20 | 2421.506 | cg8, ccg1 | gu double 8ve | P155 | syntonic double octave | |
| 25/6 | 2470.672 | cyy8, ccyy1 | yoyo double 8ve | classic chromatic minor sixteenth | ||
| 17/4 | 2504.955 | c17o9, cc17o2 | coso 9th, cocoso 2nd | m1617 | septendecimal minor sixteenth | |
| 64/15 | 2511.731 | cg9, ccg2 | cogu 9th, cocogu 2nd | m165 | classic minor sixteenth | |
| 13/3 | 2538.573 | c3o9, cc3o2 | cotho 9th, cocotho 2nd | m1613 | tridecimal minor sixteenth | |
| 22/5 | 2565.004 | c1og9, cc1og2 | coco-logu 2nd | large undecimal neutral sixteenth | ||
| 9/2 | 2603.910 | cw9, ccw2 | cowa 9th, cocowa 2nd | M16 | classic large major sixteenth | |
| 23/5 | 2641.961 | cc23og3 | coco-twethogu 3rd | trivigintal supermajor sixteenth | ||
| 14/3 | 2666.871 | ccz3 | cocozo 3rd | m177 | septimal subminor seventeenth | |
| 19/4 | 2696.513 | cc19o3 | cocono 3rd | undevicesimal minor seventeenth | ||
| 24/5 | 2715.641 | ccg3 | cocogu 3rd | classic minor seventeenth | ||
| 44/9 | 2747.408 | cc1o3 | cocolo 3rd | undecimal neutral seventeenth | ||
| 5/1 | 2786.314 | ccy3 | cocoyo 3rd | M175 | 5th harmonic, pentave | |
| 36/7 | 2835.084 | ccr3 | cocoru 3rd | septimal supermajor seventeenth | ||
| 21/4 | 2870.781 | ccz4 | cocozo 4th | septimal subeighteenth | ||
| 16/3 | 2898.045 | ccw4 | cocowa 4th | P18 | perfect eighteenth | |
| 27/5 | 2919.551 | ccg4 | cocogu 4th | 5-limit supereighteenth | ||
| 11/2 | 2951.318 | cc1o4 | cocolo 4th | P1811 | undecimal semi-augmented eighteenth | |
| 28/5 | 2982.512 | cczg5 | coco-zogu 5th | d1975 | short septimal panchadashatone | |
| 45/8 | 2990.224 | ccy4 | cocoyo 4th | A185 | quinquadragintimal panchadashatone | |
| 17/3 | 3003.000 | cc17o5 | cocoso 5th | d1917 | septendecimal panchadasatone | |
| 40/7 | 3017.488 | ccry4 | coco-ruyo 4th | A1857 | tall septimal panchadashatone | |
| 23/4 | 3028.274 | cc23o5 | coco-twetho 5th | vicesimotertial panchadashatone | ||
| 35/6 | 3053.185 | cczy5 | coco-zoyo 5th | septimal semi-diminished nineteenth | ||
| 6/1 | 3101.955 | ccw5 | cocowa 5th | P19 | 6th harmonic | |
| 55/9 | 3133.722 | cc1og5 | coco-logu 5th | undecimal superninteenth | ||
| 25/4 | 3172.627 | ccyy5 | coco-yoyo 5th | 5-limit subminor twentieth | ||
| 19/3 | 3195.558 | cc19o6 | cocono 6th | undevicesimal minor twentieth | ||
| 32/5 | 3213.686 | ccg6 | cocogu 6th | classic minor twentieth | ||
| 13/2 | 3240.528 | cc3o6 | cocotho 6th | m2013 | tridecimal neutral twentieth | |
| 20/3 | 3284.359 | ccy6 | cocoyo 6th | classic major twentieth | ||
| 48/7 | 3333.129 | ccr6 | cocoru 6th | septimal supermajor twentieth | ||
| 7/1 | 3368.826 | ccz7 | cocozo 7th | m217 | 7th harmonic | |
| 36/5 | 3417.596 | ccg7 | cocogu 7th | 5-limit minor twentyfirst | ||
| 22/3 | 3449.363 | cc1o7 | cocolo 7th | undecimal neutral twentyfirst | ||
| 15/2 | 3488.269 | ccy7 | cocoyo 7th | M215 | just/classic(al)/ptolemaic major twentyfirst | |
| 23/3 | 3526.319 | c323o1 | twetho triple 8ve | vicesimotertial supermajor twentyfirst | ||
| 31/4 | 3545.036 | c331o1 | thiwo triple 8ve | 31-limit semi-augmented twentyfirst | ||
| 8/1 | 3600.000 | c3w1 | wa triple 8ve | P22 | 8th harmonic, three octaves | |
| 33/4 | 3653.273 | c31o1 | ilo triple 8ve | undecimal semi-diminished twentythird | ||
| 25/3 | 3670.672 | c3yy1 | yoyo triple 8ve | classic chromatic twentythird | ||
| 17/2 | 3704.955 | c317o2 | tricoso 2nd | septendecimal minor twentythird | ||
| 128/15 | 3711.731 | c3g2 | tricogu 2nd | m235 | classic minor twenty-third | |
| 26/3 | 3738.573 | c33o2 | tricotho 2nd | tridecimal neutral twentythird | ||
| 35/4 | 3755.140 | c3zy2 | trico-zoyo 2nd | septimal neutral twentythird | ||
| 9/1 | 3803.910 | c3w2 | tricowa 2nd | M23 | 9th harmonic | |
| 10/1 | 3986.314 | c3y3 | tricoyo 3rd | M245 | 10th harmonic, decade | |
| 11/1 | 4151.318 | c31o4 | tricolo 4th | P2511 | 11th harmonic | |
| 12/1 | 4301.955 | c3w5 | tricowa 5th | P26 | 12th harmonic | |
| 13/1 | 4440.528 | c33o6 | tricotho 6th | m2713 | 13th harmonic | |
| 14/1 | 4568.826 | c3z7 | tricozo 7th | m287 | 14th harmonic | |
| 15/1 | 4688.269 | c3y7 | tricoyo 7th | M285 | 15th harmonic | |
| 16/1 | 4800.000 | c4w1 | wa quadruple 8ve | P29 | 16th harmonic, four octaves | |
| 17/1 | 4904.955 | c417o2 | quadcoso 2nd | m3017 | 17th harmonic | |
| 256/15 | 4911.731 | c4g2 | quadcogu 2nd | m305 | classic minor thirtieth | |
| 18/1 | 5004.910 | c4w2 | quadcowa 2nd | M30 | 18th harmonic | |
| 19/1 | 5097.513 | c419o3 | quadcono 3rd | m3119 | 19th harmonic | |
| 20/1 | 5186.314 | c4y3 | quadcoyo 3rd | M315 | 20th harmonic | |
| 21/1 | 5270.781 | c4z4 | quadcozo 4th | P327 | 21st harmonic | |
| 22/1 | 5351.318 | c41o4 | quadcolo 4th | P3211 | 22nd harmonic | |
| 23/1 | 5428.274 | c423o5 | quadco-twetho 5th | A3223 | 23rd harmonic | |
| 24/1 | 5501.955 | c4w5 | quadcowa 5th | P33 | 24th harmonic | |
| 25/1 | 5572.617 | c4yy5 | quadco-yoyo 5th | A335,5 | 25th harmonic | |
| 27/1 | 5705.865 | c4w6 | quadcowa 6th | M34 | 27th harmonic | |
| 29/1 | 5829.577 | c429o7 | quadco-tweno 7th | m3529 | 29th harmonic | |
| 31/1 | 5945.036 | c431o7 | quadco-thiwo 7th | M3531 | 31st harmonic | |
| 49/1 | 6737.652 | c5zz6 | quinco-zozo 6th | M417,7 | 49th harmonic | |
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