Projection pair: Difference between revisions
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== List of projection pairs == | == List of projection pairs == | ||
=== 5-limit === | === 5-limit === | ||
* 16875/16384: 3 50625/16384, 5 16384/3375 to 2.15 | * [[Negri comma|16875/16384]]: 3 50625/16384, 5 16384/3375 to 2.15 | ||
* 250/243: 3 729/250, 5 59049/12500 to 2.9/5 | * [[250/243]]: 3 729/250, 5 59049/12500 to 2.9/5 | ||
* 3125/3072: 3 3125/1024 | * [[Magic comma|3125/3072]]: 3 3125/1024 | ||
* 20000/19683: 3 20000/6561, 5 2000000000/387420489 to 2.9/5 | * [[Tetracot comma|20000/19683]]: 3 20000/6561, 5 2000000000/387420489 to 2.9/5 | ||
* 81/80: 5 81/16 | * [[81/80]]: 5 81/16 | ||
* 393216/390625: 3 390625/131072 | * [[Würschmidt comma|393216/390625]]: 3 390625/131072 | ||
* 2109375/2097152: 3 13348388671875/4398046511104, 5 2097152/421875 to 2.75 | * [[Semicomma|2109375/2097152]]: 3 13348388671875/4398046511104, 5 2097152/421875 to 2.75 | ||
* 15625/15552: 3 46656/15625, 5 15552/3125 to 2.5/3 | * [[15625/15552]]: 3 46656/15625, 5 15552/3125 to 2.5/3 | ||
* 32805/32768: 5 32768/6561 | * [[Schisma|32805/32768]]: 5 32768/6561 | ||
=== 7-limit === | === 7-limit === | ||
* 1029/1000: 3 1000/343 to 2.5.7 | * [[1029/1000]]: 3 1000/343 to 2.5.7 | ||
* 36/35: 7 36/5 | * [[36/35]]: 7 36/5 | ||
* 525/512: 7 512/75 | * [[525/512]]: 7 512/75 | ||
* 49/48: 3 49/16 to 2.5.7 | * [[49/48]]: 3 49/16 to 2.5.7 | ||
* 686/675: 5 3375/686, 7 675/98 to 2.3.7/5 | * [[686/675]]: 5 3375/686, 7 675/98 to 2.3.7/5 | ||
* 64/63: 7 64/9 | * [[64/63]]: 7 64/9 | ||
* 854296875/843308032: 5 843308032/170859375, 7 5903156224/854296875 to 2.3.7/5 | * [[Blackjackisma|854296875/843308032]]: 5 843308032/170859375, 7 5903156224/854296875 to 2.3.7/5 | ||
* 64827/64000: 5 320000/64827, 7 64000/9261 to 2.3.7/5 | * [[Squalentine comma|64827/64000]]: 5 320000/64827, 7 64000/9261 to 2.3.7/5 | ||
* 875/864: 7 864/125 | * [[875/864]]: 7 864/125 | ||
* 3125/3087: 5 15625/3087, 7 9765625/1361367 to 2.3.25/7 | * [[3125/3087]]: 5 15625/3087, 7 9765625/1361367 to 2.3.25/7 | ||
* 2430/2401: 5 2401/486 to 2.3.7 | * [[2430/2401]]: 5 2401/486 to 2.3.7 | ||
* 50421/50000: 3 50000/16807 to 2.5.7 | * [[Trimyna comma|50421/50000]]: 3 50000/16807 to 2.5.7 | ||
* 245/243: 5 243/49 to 2.3.7 | * [[245/243]]: 5 243/49 to 2.3.7 | ||
* 126/125: 7 125/18 | * [[126/125]]: 7 125/18 | ||
* 4000/3969: 5 3969/800, 7 27783/4000 to 2.3.7/5 | * [[4000/3969]]: 5 3969/800, 7 27783/4000 to 2.3.7/5 | ||
* 1728/1715: 5 1728/343 to 2.3.7 | * [[1728/1715]]: 5 1728/343 to 2.3.7 | ||
* 1029/1024: 3 1024/343 to 2.5.7 | * [[1029/1024]]: 3 1024/343 to 2.5.7 | ||
* 225/224: 7 225/32 | * [[225/224]]: 7 225/32 | ||
* 19683/19600: 3 19600/6561, 7 1033052339200000000/150094635296999121 to 2.5.81/7 | * [[Cataharry comma|19683/19600]]: 3 19600/6561, 7 1033052339200000000/150094635296999121 to 2.5.81/7 | ||
* 16875/16807: 5 84375/16807, 7 16875/2401 to 2.3.7/5 | * [[Mirkwai comma|16875/16807]]: 5 84375/16807, 7 16875/2401 to 2.3.7/5 | ||
* 10976/10935: 5 10976/2187 to 2.3.7 | * [[Hemimage comma|10976/10935]]: 5 10976/2187 to 2.3.7 | ||
* 3136/3125: 5 3136/625, 7 68841472/9765625 to 2.3.25/7 | * [[3136/3125]]: 5 3136/625, 7 68841472/9765625 to 2.3.25/7 | ||
* 5120/5103: 7 5120/729 | * [[5120/5103]]: 7 5120/729 | ||
* 6144/6125: 3 6125/2048 to 2.5.7 | * [[6144/6125]]: 3 6125/2048 to 2.5.7 | ||
* 33554432/ | * [[Garischisma|33554432/33480783]]: 7 33554432/4782969 | ||
* 201768035/201326592: 5 201326592/40353607 to 2.3.7 | * [[Wadisma|201768035/201326592]]: 5 201326592/40353607 to 2.3.7 | ||
* 65625/65536: 7 65536/9375 | * [[Quasiorwellisma|29360128/29296875]]: 7 29296875/4194304 | ||
* 703125/702464: 5 702464/140625, 7 3454189699072/494384765625 to 2.3.25/7 | * [[Horwell comma|65625/65536]]: 7 65536/9375 | ||
* 420175/419904: 5 882735153125/176319369216, 7 419904/60025 to 2.3.245 | * [[Meter|703125/702464]]: 5 702464/140625, 7 3454189699072/494384765625 to 2.3.25/7 | ||
* 2401/2400: 3 2401/800 to 2.5.7 | * [[Wizma|420175/419904]]: 5 882735153125/176319369216, 7 419904/60025 to 2.3.245 | ||
* 4375/4374: 7 4374/625 | * [[2401/2400]]: 3 2401/800 to 2.5.7 | ||
* [[4375/4374]]: 7 4374/625 | |||
=== 11-limit === | === 11-limit === | ||
* 33/32: 11 32/3 | * [[33/32]]: 11 32/3 | ||
* 45/44: 11 45/4 | * [[45/44]]: 11 45/4 | ||
* 55/54: 11 54/5 | * [[55/54]]: 11 54/5 | ||
* 56/55: 11 56/5 | * [[56/55]]: 11 56/5 | ||
* 99/98: 11 98/9 | * [[245/242]]: 5 242/49 to 2.3.7.11 | ||
* 100/99: 11 100/9 | * [[99/98]]: 11 98/9 | ||
* 121/120: 5 121/24 to 2.3.7.11 | * [[100/99]]: 11 100/9 | ||
* 1331/1323: 7 9261/1331, 11 1323/121 to 2.3.5.11/7 | * [[121/120]]: 5 121/24 to 2.3.7.11 | ||
* 176/175: 11 175/16 | * [[1331/1323]]: 7 9261/1331, 11 1323/121 to 2.3.5.11/7 | ||
* 896/891: 11 896/81 | * [[176/175]]: 11 175/16 | ||
* 4375/4356: 7 4356/625 to 2.3.5.11 | * [[896/891]]: 11 896/81 | ||
* 243/242: 3 242/81, 11 644204/59049 to 2.5.7.11/9 | * [[4375/4356]]: 7 4356/625 to 2.3.5.11 | ||
* 3388/3375: 7 3375/484 to 2.3.5.11 | * [[Semicanousma|14641/14580]]: 5 14641/2916 to 2.3.7.11 | ||
* 385/384: 11 384/35 | * [[243/242]]: 3 242/81, 11 644204/59049 to 2.5.7.11/9 | ||
* 8019/8000: 11 8000/729 | * [[3388/3375]]: 7 3375/484 to 2.3.5.11 | ||
* 441/440: 11 441/40 | * [[385/384]]: 11 384/35 | ||
* 1375/1372: 11 1372/125 | * [[8019/8000]]: 11 8000/729 | ||
* 540/539: 11 540/49 | * [[441/440]]: 11 441/40 | ||
* 5632/5625: 11 5625/512 | * [[1375/1372]]: 11 1372/125 | ||
* 3025/3024: 7 3025/432 to 2.3.5.11 | * [[6250/6237]]: 11 6250/567 | ||
* [[540/539]]: 11 540/49 | |||
* [[5632/5625]]: 11 5625/512 | |||
* [[3025/3024]]: 7 3025/432 to 2.3.5.11 | |||
[[Category:Lists of intervals]] | [[Category:Lists of intervals]] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||
[[Category:Method]] | [[Category:Method]] | ||