Scala analysis: sensi11
Sensi[11] (Semisixths[11]) in 84edo tunig
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.571 cents 128.571429 2: 257.143 cents 257.142857 3: 385.714 cents 385.714286 4: 442.857 cents 442.857143 5: 571.429 cents 571.428571 6: 700.000 cents 700.000000 7: 828.571 cents 828.571429 8: 885.714 cents 885.714286 9: 1014.286 cents 1014.285714 10: 1142.857 cents 1142.857143 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 57.1429 cents 57.1429 1: 128.5714 cents 128.5714 2: 128.5714 cents 128.5714 3: 128.5714 cents 128.5714 4: 57.1429 cents 57.1429 5: 128.5714 cents 128.5714 6: 128.5714 cents 128.5714 7: 128.5714 cents 128.5714 8: 57.1429 cents 57.1429 9: 128.5714 cents 128.5714 10: 128.5714 cents 128.5714 11: 57.1429 cents 57.1429
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 57.14286 cents 1: 8 128.57143 cents 2: 6 185.71429 cents 2: 5 257.14286 cents 3: 9 314.28571 cents 3: 2 385.71429 cents 4: 1 371.42857 cents 4: 10 442.85714 cents 5: 4 500.00000 cents 5: 7 571.42857 cents 6: 7 628.57143 cents 6: 4 700.00000 cents 7: 10 757.14286 cents 7: 1 828.57143 cents 8: 2 814.28571 cents 8: 9 885.71429 cents 9: 5 942.85714 cents 9: 6 1014.28571 cents 10: 8 1071.42857 cents 10: 3 1142.85714 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 128.6 257.1 385.7 442.9 571.4 700.0 828.6 885.7 1014.3 1142.9 1200.0 128.6 : 128.6 257.1 314.3 442.9 571.4 700.0 757.1 885.7 1014.3 1071.4 1200.0 257.1 : 128.6 185.7 314.3 442.9 571.4 628.6 757.1 885.7 942.9 1071.4 1200.0 385.7 : 57.1 185.7 314.3 442.9 500.0 628.6 757.1 814.3 942.9 1071.4 1200.0 442.9 : 128.6 257.1 385.7 442.9 571.4 700.0 757.1 885.7 1014.3 1142.9 1200.0 571.4 : 128.6 257.1 314.3 442.9 571.4 628.6 757.1 885.7 1014.3 1071.4 1200.0 700.0 : 128.6 185.7 314.3 442.9 500.0 628.6 757.1 885.7 942.9 1071.4 1200.0 828.6 : 57.1 185.7 314.3 371.4 500.0 628.6 757.1 814.3 942.9 1071.4 1200.0 885.7 : 128.6 257.1 314.3 442.9 571.4 700.0 757.1 885.7 1014.3 1142.9 1200.0 1014.3: 128.6 185.7 314.3 442.9 571.4 628.6 757.1 885.7 1014.3 1071.4 1200.0 1142.9: 57.1 185.7 314.3 442.9 500.0 628.6 757.1 885.7 942.9 1071.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.1429 .. 128.5714 cents 71.42857 cents 57.14286 cents 2: 185.7143 .. 257.1429 cents 71.42857 cents 57.14286 cents 3: 314.2857 .. 385.7143 cents 71.42857 cents 57.14286 cents 4: 371.4286 .. 442.8571 cents 71.42857 cents -14.28572 cents 5: 500.0000 .. 571.4286 cents 71.42857 cents 57.14286 cents 6: 628.5714 .. 700.0000 cents 71.42857 cents 57.14286 cents 7: 757.1429 .. 828.5714 cents 71.42857 cents 57.14286 cents 8: 814.2857 .. 885.7143 cents 71.42857 cents -14.28571 cents 9: 942.8571 .. 1014.2857 cents 71.42857 cents 57.14286 cents 10: 1071.4286 .. 1142.8571 cents 71.42857 cents 57.14286 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 57.14286 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 128.57143 cents Average / Smallest step : 1.909091 Largest / Average step : 1.178571 Largest / Smallest step : 2.250000 Median interval of one step : 128.57143 cents, amount: 8 Most common interval of one step : 128.57143 cents, amount: 8 Least squares average step : 113.18464 cents, oct.: 1245.03106 cents Scale is not proper Scale has Myhill's property chromas: 71.42857 cents and 14.28572 cents, ratio: 5.000000 generators: 4 of 442.85714 cents and 757.14286 cents ET pair of linear temperament : 19&65 Scale is distributional even Scale is a mode of a 84-tone equal temperament with octave 1200.000 cents degrees: 9 18 27 31 40 49 58 62 71 80 84 generators: 31 and 53 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAABAAB Step pattern size order : LLLSLLLSLLS Interval vector is [ 0 0 0 3 0 0 0 0 8 0 0 0 6 0 0 0 0 5 0 0 0 9 0 0 0 1 2 0 0 0 10 0 0 0 4 0 0 0 0 7 0 0 ] Scale is a Constant Structure, by a margin of 14.28571 cents Scale diversity : 1.240892 Lumma stability : 0.428571 Lumma impropriety factor : 0.023810 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 14.28571 cents Most common intervals : 442.85714 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 442.857 885.714 cents Most common triad is 0.0 442.857 757.143 cents, amount: 9 Number of recognisable fifths : 4, average 700.0000 cents Scale contains two identical conjunct pentachords Formal octave complements present : 1 = 9.0909% Limited inverse transpositions : 7 Inversional symmetry on degrees : 9 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
11: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 38.4161 c. M: 64.9351 c. 12: 1 1 2 0 1 2 1 1 1 1 1 N D3 SD: 36.0375 c. M: 71.4286 c. 13: 1 2 1 1 1 2 1 1 1 1 1 N D3 S SD: 24.7791 c. M:-38.4615 c. 16: 2 1 2 1 2 1 2 1 2 1 1 P M ME S SD: 21.1289 c. M:-35.7143 c. 17: 2 2 1 1 2 2 2 1 1 2 1 N D3 SD: 20.3219 c. M: 32.7731 c. 19: 2 2 2 1 2 2 2 1 2 2 1 P M ME S SD: 4.4482 c. M: 7.5188 c. Sensi-11 46: 5 5 5 2 5 5 5 2 5 5 2 N M DE S SD: 3.6746 c. M:-6.2112 c. Sensi-11 65: 7 7 7 3 7 7 7 3 7 7 3 N M DE S SD: 1.3002 c. M:-2.1978 c. Sensi-11 84: 9 9 9 4 9 9 9 4 9 9 4 N M DE S SD: 0.0000 c. M:-0.0000 c. Sensi-11
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x x 4 S SD: 0.9775 cents 3 x x x 4 x x x 5 x x 6 S SD: 18.4015 cents 4 x x 5 x x 6 x x 7 x 8 S SD: 11.3764 cents 5 x 6 x x 7 x 8 x 9 x 10 S SD: 12.2922 cents 6 x 7 x 8 x 9 x 10:11 x 12 S SD: 11.0257 cents 7 x 8 x 9:10 x 11:12:13 x 14 S SD: 14.6554 cents 8 x 9:10 x 11:12:13 x 14:15:16 S SD: 11.4781 cents 9:10 x 11:12 x 13 x 15:16:17:18 SD: 14.5288 cents 10:11:12 x 13:14:15:16:17:18:19:20 S SD: 8.5580 cents 11:12:13 x 14:15:16:18 x 20:21:22 S SD: 9.6438 cents 12:13:14:15:16:17:18:19:20:22:23:24 S SD: 7.5169 cents 13:14:15:16:17:18:19:21:22:23:25:26 SD: 6.1718 cents 14:15:16 x 18:19:21 x 23:25:27:28 SD: 6.5569 cents 15:16:17:19 x 21:22:24:25:27:29:30 SD: 6.4799 cents 16:17:19:20:21:22:24:26:27:29:31:32 SD: 5.8659 cents 18:19:21:22:23:25:27:29:30:32:35:36 SD: 5.4161 cents 20:22:23:25:26:28:30:32:33:36:39:40 SD: 4.6134 cents 24:26:28:30:31:33:36:39:40:43:46:48 SD: 2.9373 cents 36:39:42:45:46:50:54:58:60:65:70:72 SD: 2.4109 cents 39:42:45:49:50:54:58:63:65:70:75:78 SD: 2.3946 cents 44:47:51:55:57:61:66:71:73:79:85:88 SD: 1.7507 cents 48:52:56:60:62:67:72:77:80:86:93:96 SD: 1.7502 cents 49:53:57:61:63:68:73:79:82:88:95:98 SD: 1.6720 cents 51:55:59:64:66:71:76:82:85:92:99:102 SD: 1.5961 cents 52:56:60:65:67:72:78:84:87:93:101:104 SD: 1.5951 cents 62:67:72:77:80:86:93:100:103:111:120:124 SD: 1.4783 cents 63:68:73:79:81:88:94:102:105:113:122:126 SD: 1.4697 cents 64:69:74:80:83:89:96:103:107:115:124:128 SD: 1.0622 cents 75:81:87:94:97:104:112:121:125:135:145:150 SD: 1.0510 cents 76:82:88:95:98:106:114:123:127:137:147:152 SD: 1.0026 cents 88:95:102:110:114:122:132:142:147:158:170:176 SD: 0.9123 cents 92:99:107:115:119:128:138:148:153:165:178:184 SD: 0.9008 cents 93:100:108:116:120:129:139:150:155:167:180:186 SD: 0.7614 cents 117:126:136:146:151:163:175:189:195:210:226:234 SD: 0.6493 cents 120:129:139:150:155:167:180:194:200:216:232:240 SD: 0.6289 cents 143:154:166:179:185:199:214:231:239:257:277:286 SD: 0.5917 cents 144:155:167:180:186:200:216:232:240:259:279:288 SD: 0.5154 cents 156:168:181:195:201:217:234:252:260:280:302:312 SD: 0.4879 cents 168:181:195:210:217:234:252:271:280:302:325:336 SD: 0.3387 cents 181:195:210:226:234:252:271:292:302:325:350:362 SD: 0.3127 cents 220:237:255:275:284:306:330:355:367:395:426:440 SD: 0.2862 cents 261:281:303:326:337:363:391:421:435:469:505:522 SD: 0.2140 cents 325:350:377:406:420:452:487:524:542:584:629:650 SD: 0.1945 cents 337:363:391:421:435:469:505:544:562:605:652:674 SD: 0.1764 cents 388:418:450:485:501:540:581:626:647:697:751:776 SD: 0.1647 cents 401:432:465:501:518:558:601:647:669:720:776:802 SD: 0.1532 cents 481:518:558:601:621:669:721:776:802:864:931:962 SD: 0.1305 cents 542:584:629:677:700:754:812:875:904:974:1049:1084 SD: 0.1271 cents 570:614:661:712:736:793:854:920:951:1024:1103:1140 SD: 0.1066 cents