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m →((2/1, 7/6)[4], 11/10) Guanyin: {{Navbox scale gallery}}
 
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Line 138: Line 138:
~ 16/15 35/32 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLMLLLsLL
~ 16/15 35/32 7/6 5/4 4/3 7/5 3/2 8/5 12/7 7/4 15/8 2/1 as LsLLLMLLLsLL


L = M -> LsLLLLLLLsLL Pajara[12] MODMOS; M = s -> LsLLLsLLLsLLs August[12]; L = s -> sssssLssssss Passion[12];
L = M -> LsLLLLLLLsLL Pajara[12] MODMOS; M = s -> LsLLLsLLLsLL August[12]; L = s -> sssssLssssss Passion[12];


s = 0 -> LLLLsLLLLL Negri[10]; M = 0 -> LsLLLLLLsLL Pelogic[11] MODMOS
s = 0 -> LLLLsLLLLL Negri[10]; M = 0 -> LsLLLLLLsLL Pelogic[11] MODMOS
Line 147: Line 147:


L = M -> LsLLLLLLLsLL Pajarous[12] MODMOS; M = s -> LsLLLsLLLsLLs August[12]; L = s -> sssssLssssss Passion[12]; s = 0 -> LLLLsLLLLL Negri[10]
L = M -> LsLLLLLLLsLL Pajarous[12] MODMOS; M = s -> LsLLLsLLLsLLs August[12]; L = s -> sssssLssssss Passion[12]; s = 0 -> LLLLsLLLLL Negri[10]
====[[SNS ((2/1, 5/4)-3, 16/15: 225/224, 385/384)-22|((2/1, 5/4)[3], 16/15: 225/224, 385/384)[22] (Marvel)]]====
====[[SNS ((2/1, 5/4)-3, 16/15: 225/224, 385/384)-22|((2/1, 5/4)[3], 16/15: 225/224, 385/384)[22] (Marvel)]]====
9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55) = (80.7857c, 49.4049c, 35.347c) TE
9L 1m 12s = (~22/21, 36/35~33/32, 49/48~45/44~56/55) = (80.7857c, 49.4049c, 35.347c) TE
Line 152: Line 153:
~ 49/48 16/15 12/11 49/44 7/6 105/88 5/4 14/11 4/3 15/11 7/5 63/44 3/2 49/32 8/5 18/11 12/7 7/4 98/55 15/8 21/11 2/1 as sLssLsLsLsmsLsLsLssLsL
~ 49/48 16/15 12/11 49/44 7/6 105/88 5/4 14/11 4/3 15/11 7/5 63/44 3/2 49/32 8/5 18/11 12/7 7/4 98/55 15/8 21/11 2/1 as sLssLsLsLsmsLsLsLssLsL


m = s -> sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS; L = m -> sLssLsLsLsLsLsLsLssLsL Pajarous[22]; L = s -> MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22];
m = s -> sLssLsLsLsssLsLsLssLsL Orwell[22] MODMOS; L = m -> sLssLsLsLsLsLsLsLssLsL Pajarous[22] MODMOS; L = s -> MODMOS, LLLLLLLLLLsLLLLLLLLLLL Escapade[22];


s = 0 -> LLLLsLLLLL Negri[10]
s = 0 -> LLLLsLLLLL Negri[10]
Line 161: Line 162:
135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
135/128 9/8 5/4 4/3 45/32 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm


m = s -> ssLsssLsss Srutal[10] MODMOS; L = m -> sLLLsLLLsL Dicot[10] MODMOS; L = s -> LsLsLsLsLs Blackwood[10]; s = 0 -> sLssLss Mavila[9]; m =0 -> sLsLs Father[5]
m = s -> ssLsssLsss 4M (Pentachordal decatonic); L = m -> sLLLsLLLsL Dicot[10] MODMOS; L = s -> LsLsLsLsLs Blackwood[10];
 
L - m = m - s -> sLALsLALsL Negri[10] MODMOS; s = 0 -> sLssLss Mavila[7]; m =0 -> sLsLs Father[5]
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]=====
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224)-10|((2/1, 3/2)[5], 16/15: 225/224)[10] (Marvel)]]=====
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20) = (182.9137c, 116.0124c, 84.9028c) TE
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20) = (182.9137c, 116.0124c, 84.9028c) TE
Line 167: Line 170:
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm


m = s -> ssLsssLsss Pajara[10] MODMOS; L = m -> sLLLsLLLsL Dicot[10] MODMOS; s = 0 -> sLssLss Pelogic[9]
m = s -> ssLsssLsss 4M (Pentachordal decatonic); L = m -> sLLLsLLLsL Dicot[10] MODMOS; s = 0 -> sLssLss Pelogic[7]
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224, 441/440)-10|((2/1, 3/2)[5], 16/15: 225/224, 441/440)[10] (Prodigy)]]=====
=====[[SNS ((2/1, 3/2)-5, 16/15: 225/224, 441/440)-10|((2/1, 3/2)[5], 16/15: 225/224, 441/440)[10] (Prodigy)]]=====
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20~22/21) = (184.0358c, 116.7669c, 82.9601c) TE
2L 5m 3s = (10/9, 16/15~15/14, 135/128~21/20~22/21) = (184.0358c, 116.7669c, 82.9601c) TE
Line 173: Line 176:
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm
~ 21/20 9/8 5/4 4/3 7/5 3/2 5/3 16/9 15/8 2/1 as smLmsmLmsm


m = s -> ssLsssLsss Pajaric[10] MODMOS
m = s -> ssLsssLsss 4M (Pentachordal decatonic)
====[[SNS ((2/1, 3/2)-5, 16/15)-17|((2/1, 3/2)[5], 16/15)[17]]]====
====[[SNS ((2/1, 3/2)-5, 16/15)-17|((2/1, 3/2)[5], 16/15)[17]]]====
10L 2M 5s = (135/128, 256/243, 2048/2025) = (92.1787c,
10L 2M 5s = (135/128, 256/243, 2048/2025) = (92.1787c,
Line 335: Line 338:


46-ET: (2, 1, 1); 72-ET: (4, 2, 1); 80-ET: (4, 1, 2); 118-ET: (6, 3, 2); 152-ET: (8, 3, 3); 171-ET: (9, 4, 3); 224-ET: (12, 5, 4); 270-ET: (14, 6, 5); 494-ET: (26, 11, 9); 612-ET: (32, 14, 11)
46-ET: (2, 1, 1); 72-ET: (4, 2, 1); 80-ET: (4, 1, 2); 118-ET: (6, 3, 2); 152-ET: (8, 3, 3); 171-ET: (9, 4, 3); 224-ET: (12, 5, 4); 270-ET: (14, 6, 5); 494-ET: (26, 11, 9); 612-ET: (32, 14, 11)
=== ((2/1, 6/5)[4], 10/9) ===
==== ((2/1, 6/5)[4], 10/9)[8] ====
4L 3m 1s = (10/9, 27/25, 25/24)
27/25 6/5 5/4 25/18 3/2 5/3 9/5 2/1 as MLsLMLML
L=M -> LLsLLLLL Porcupine[8]; M=s -> sLsLsLsL Diminished[8]; L=s -> LsssLsLs Father[8] MODMOS; s=0 -> sLLsLsL Dicot[7]
===== ((2/1, 6/5)[4], 10/9: 100/99)[8] =  =====
4L 3m 1s = (10/9~11/10, 27/25~12/11, 25/24~33/32) = (174.0549c, 146.6353c, 63.1433c)
~ 12/11 6/5 5/4 11/8 3/2 5/3 9/5 2/1 as MLsLMLML
===== ((2/1, 6/5)[4], 10/9: 100/99, 144/143)[8] =====
4L 3m 1s = (10/9~11/10, 27/25~12/11~13/12, 25/24~33/32) = (175.892c, 142.775c, 66.766c)
~ 12/11 6/5 5/4 11/8 3/2 5/3 9/5 2/1 as MLsLMLML
===== ((2/1, 6/5)[4], 10/9: 325/324)[8] =====
4L 3m 1s = (10/9, 27/25~13/12, 25/24)
~ 27/25 6/5 5/4 18/13 3/2 5/3 9/5 2/1 as MLsLMLML
==== ((2/1, 6/5)[4], 10/9)[15] ====
4L 8m 3s = (16/15, 25/24, 648/625)
25/24 10/9 125/108 6/5 5/4 4/3 25/18 36/25 3/2 8/5 5/3 216/125 48/25 2/1 as mLmsmLmsmLmsmLm
m=s -> sLsssLsssLsssLs Hanson[15]; L = m -> LLLsLLLsLLLsLLL Augmented[15] mod; L=s ->  sLsLsLsLsLsLsLs; Porcupine[15]; s=0 -> sLssLssLssLs Diminished[12]
===== ((2/1, 6/5)[4], 10/9: 100/99)[15] =====
4L 3m 8s = (~16/15, 648/625, 25/24~33/32)
~ 25/24 10/9 55/48 6/5 5/4 4/3 11/8 16/11 3/2 8/5 5/3 72/55 48/25 2/1 as sLsmsLsmsLsmsLs
===== ((2/1, 6/5)[4], 10/9: 100/99, 144/143)[15] =====
4L 3m 8s = (~16/15, 26/25, 25/24~33/32~27/26) = (109.1256c, 76.00911c, 66.76626c)
~ 25/24 10/9 15/13 6/5 5/4 4/3 11/8 13/9 3/2 8/5 5/3 26/15 48/25 2/1 as sLsmsLsmsLsmsLsm
===== ((2/1, 6/5)[4], 10/9: 325/324)[15] =====
4L 3m 8s = (~16/15, 26/25, 25/24~27/26)
~ 25/24 10/9 15/13 6/5 5/4 4/3 18/13 13/9 3/2 8/5 5/3 26/15 48/25 2/1 as sLsmsLsmsLsmsLsm
==== ((2/1, 6/5)[4], 10/9: 325/324)[22] ====
15L 4M 3s = (25/24~27/26, 128/125, 676/675)
LMLLsLLMLLsLLMLLsLLMLL
~ 25/24 16/15 10/9 15/13 (52/45) 6/5 5/4 32/25 4/3 18/13 (104/75) 13/9 3/2 192/125 8/5 5/3 (208/125) 26/15 65/36 416/225 48/25 2/1
L=M -> LLLLsLLLLLsLLLLLsLLLLL Magic[22] MODMOS; M=s -> LsLLsLLsLLsLLsLLsLLsLL Porcupine[22]; L=s -> sLsssssLsssssLsssssLss; s=0 -> LsLLLLsLLLLsLLLLsLL Hanson[19]
===== ((2/1, 6/5)[4], 10/9: 100/99, 144/143)[22] =====
15L 4M 3s = (25/24~33/32~27/26, 128/125, 676/675)
LMLLsLLMLLsLLMLLsLLMLL
~ 25/24 16/15 10/9 15/13 (52/45) 6/5 5/4 32/25 4/3 11/8 (104/75) 13/9 3/2 192/125 8/5 5/3 (208/125) 26/15 65/36 416/225 48/25 2/1
L=M -> LLLLsLLLLLsLLLLLsLLLLL Magic[22] MODMOS; M=s -> LsLLsLLsLLsLLsLLsLLsLL Porcupine[22]; L=s -> sLsssssLsssssLsssssLss; s=0 -> LsLLLLsLLLLsLLLLsLL Hanson[19]
===== ((2/1, 6/5)[4], 10/9: 100/99, 144/143, 225/224)[22] =====
15L 4M 3s = (25/24~33/32~27/26~28/27, 128/125~36/35, 169/168)
LMLLsLLMLLsLLMLLsLLMLL
~ 25/24 16/15 10/9 15/13 (52/45) 6/5 5/4 32/25 4/3 11/8 (39/28) 13/9 3/2 54/35 8/5 5/3 (117/71) 26/15 65/36 13/7 48/25 2/1
==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==
==2.3.5; [[Hemifamity family#Hemifamity|Hemifamity]] ==
===((2/1, 3/2)[5], 10/9)===
===((2/1, 3/2)[5], 10/9)===
Line 435: Line 507:
L = M -> LsLLLs; M = s -> sssLss; L = s -> LsLsLs
L = M -> LsLLLs; M = s -> sssLss; L = s -> LsLsLs
====[[SNS ((2/1, 5/4)-3, 9/8)-10|((2/1, 5/4)[3], 9/8)[10]]]====
====[[SNS ((2/1, 5/4)-3, 9/8)-10|((2/1, 5/4)[3], 9/8)[10]]]====
6L 1M 3s = (10/9, 128/125, 81/80)
6L 1m 3s = (10/9, 128/125, 81/80)


10/9 9/8 5/4 25/18 45/32 25/16 8/5 16/9 9/5 2/1 as LsLLsLmLsL,
10/9 9/8 5/4 25/18 45/32 25/16 8/5 16/9 9/5 2/1 as LsLLsLmLsL,
Line 441: Line 513:
m = s -> LsLLsLsLsL MODMOS; L = m -> LsLLsLLLsL; L = s -> LLLLLLsLLL; s = 0 -> LLLLsLL; m = 0 -> LsLLsLLsL
m = s -> LsLLsLsLsL MODMOS; L = m -> LsLLsLLLsL; L = s -> LLLLLLsLLL; s = 0 -> LLLLsLL; m = 0 -> LsLLsLLsL
=====[[SNS ((2/1, 5/4)-3, 9/8: 225/224)-10|((2/1, 5/4)[3], 9/8: 225/224)[10] (Marvel)]]=====
=====[[SNS ((2/1, 5/4)-3, 9/8: 225/224)-10|((2/1, 5/4)[3], 9/8: 225/224)[10] (Marvel)]]=====
6L 1M 3s = (~10/9, 128/125~36/35, 81/80~126/125) = (182.9137c, 49.1111c, 18.0015c) TE
6L 1m 3s = (~10/9, 128/125~36/35, 81/80~126/125) = (182.9137c, 49.1111c, 18.0015c) TE


~ 10/9 9/8 5/4 25/18 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL
~ 10/9 9/8 5/4 25/18 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL
Line 447: Line 519:
m = s -> LsLsLsLLsL MODMOS; L = m -> LsLLLsLLsL; L = s -> LLLsLLLLLL; s = 0 -> LLsLLLL; m = 0 -> LsLLsLLsL
m = s -> LsLsLsLLsL MODMOS; L = m -> LsLLLsLLsL; L = s -> LLLsLLLLLL; s = 0 -> LLsLLLL; m = 0 -> LsLLsLLsL
=====[[SNS ((2/1, 5/4)-3, 9/8: 100/99, 225/224)-10|((2/1, 5/4)[3], 9/8: 100/99, 225/224)[10] (Apollo)]]=====
=====[[SNS ((2/1, 5/4)-3, 9/8: 100/99, 225/224)-10|((2/1, 5/4)[3], 9/8: 100/99, 225/224)[10] (Apollo)]]=====
6L 1M 3s = (10/9~11/10, 128/125~36/35~80/77, 81/80~126/125~45/44~56/55) = (174.6095c, 55.1825c, 32.3305c) TE
6L 1m 3s = (10/9~11/10, 128/125~36/35~80/77, 81/80~126/125~45/44~56/55) = (174.6095c, 55.1825c, 32.3305c) TE


~10/9 9/8 5/4 11/8 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL
~10/9 9/8 5/4 11/8 7/5 14/9 8/5 16/9 9/5 2/1 as LsLmLsLLsL
Line 569: Line 641:
~ 36/35 21/20 10/9 8/7 7/6 6/5 49/40 35/27 4/3 48/35 7/5 35/24 3/2 54/27 63/40 5/3 12/7 7/4 9/5 147/80 35/18 2/1 as ssLssssLsssMsssLssssLs
~ 36/35 21/20 10/9 8/7 7/6 6/5 49/40 35/27 4/3 48/35 7/5 35/24 3/2 54/27 63/40 5/3 12/7 7/4 9/5 147/80 35/18 2/1 as ssLssssLsssMsssLssssLs


m = s -> ssLssssLsssssssLssssLs Doublewide[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Superpyth[17]; s = 0 -> LLsLL Beep[5]
m = s -> ssLssssLsssssssLssssLs Doublewide[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Superpyth[22]; s = 0 -> LLsLL Beep[5]
=====[[SNS (2/1, 3/2, 7/6: 99/98, 385/384)-22|(2/1, 3/2, 7/6: 99/98, 385/384)[22] (Orwellian)]]=====
=====[[SNS (2/1, 3/2, 7/6: 99/98, 385/384)-22|(2/1, 3/2, 7/6: 99/98, 385/384)[22] (Orwellian)]]=====
4L 1m 17s = (~200/189, 25/24~80/77, 49/48~36/35~33/32) = (99.3869c, 69.0538c, 43.1875c) TE
4L 1m 17s = (~200/189, 25/24~80/77, 49/48~36/35~33/32) = (99.3869c, 69.0538c, 43.1875c) TE
Line 575: Line 647:
~ 36/35 21/20 10/9 8/7 7/6 6/5 49/40 35/27 4/3 11/8 7/5 16/11 3/2 54/27 63/40 5/3 12/7 7/4 9/5 147/80 35/18 2/1 as ssLssssLsssMsssLssssLs
~ 36/35 21/20 10/9 8/7 7/6 6/5 49/40 35/27 4/3 11/8 7/5 16/11 3/2 54/27 63/40 5/3 12/7 7/4 9/5 147/80 35/18 2/1 as ssLssssLsssMsssLssssLs


m = s -> ssLssssLsssssssLssssLs Doublewide[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Suprapyth[17]; s = 0 -> LLsLL Pentoid[5]
m = s -> ssLssssLsssssssLssssLs Doublewide[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Suprapyth[22]; s = 0 -> LLsLL Pentoid[5]
=====[[SNS (2/1, 3/2, 7/6: 176/175, 540/539)-22|(2/1, 3/2, 7/6: 176/175, 540/539)[22] (Guanyin)]]=====
=====[[SNS (2/1, 3/2, 7/6: 176/175, 540/539)-22|(2/1, 3/2, 7/6: 176/175, 540/539)[22] (Guanyin)]]=====
4L 1m 17s = (~200/189, 25/24~22/21, 49/48~36/35~45/44) = (97.8256c, 76.5265c, 43.0239c) TE
4L 1m 17s = (~200/189, 25/24~22/21, 49/48~36/35~45/44) = (97.8256c, 76.5265c, 43.0239c) TE
Line 581: Line 653:
~ 36/35 21/20 10/9 8/7 7/6 6/5 27/22 35/27 4/3 15/11 7/5 22/15 3/2 54/27 63/40 5/3 12/7 7/4 9/5 81/44 35/18 2/1 as ssLssssLsssmsssLssssLs
~ 36/35 21/20 10/9 8/7 7/6 6/5 27/22 35/27 4/3 15/11 7/5 22/15 3/2 54/27 63/40 5/3 12/7 7/4 9/5 81/44 35/18 2/1 as ssLssssLsssmsssLssssLs


m = s -> ssLssssLsssssssLssssLs Fleetwood[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Superpyth[17]
m = s -> ssLssssLsssssssLssssLs Fleetwood[22] MODMOS; L = m -> ssLssssLsssLsssLssssLs Superpyth[22]
====[[SNS (2/1, 3/2, 7/6: 1728/1715)-27|(2/1, 3/2, 7/6: 1728/1715)[27] (Orwellismic)]]====
====[[SNS (2/1, 3/2, 7/6: 1728/1715)-27|(2/1, 3/2, 7/6: 1728/1715)[27] (Orwellismic)]]====
4L 22M 1s = (~250/243, 49/48~36/35, ~50/49) = (53.8033c, 43.334c, 30.8575c) TE
4L 22M 1s = (~250/243, 49/48~36/35, ~50/49) = (53.8033c, 43.334c, 30.8575c) TE
Line 654: Line 726:
=== ((2/1, 7/6)[4], 11/10) Guanyin ===
=== ((2/1, 7/6)[4], 11/10) Guanyin ===
11/10 7/6 77/60 15/11 3/2 8/5 44/25 2/1
11/10 7/6 77/60 15/11 3/2 8/5 44/25 2/1
{{Navbox scale gallery}}
[[Category:Rank-3 scales]]
[[Category:Lists of scales]]
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