Scala analysis: xen18-erlich-keemun-07
4L 3s MOS for Keemun, L=249.67, s=68.17
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 249.670 cents 249.670000 2: 317.840 cents 317.840000 3: 567.510 cents 567.510000 4: 635.680 cents 635.680000 5: 885.350 cents 885.350000 6: 953.520 cents 953.520000 7: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 249.6700 cents 249.6700 1: 249.6700 cents 249.6700 2: 68.1700 cents 68.1700 3: 249.6700 cents 249.6700 4: 68.1700 cents 68.1700 5: 249.6700 cents 249.6700 6: 68.1700 cents 68.1700 7: 249.6700 cents 249.6700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 68.17000 cents 1: 4 249.67000 cents 2: 6 317.84000 cents 2: 1 499.34000 cents 3: 2 386.01000 cents 3: 5 567.51000 cents 4: 5 635.68000 cents 4: 2 817.18000 cents 5: 1 703.85000 cents 5: 6 885.35000 cents 6: 4 953.52000 cents 6: 3 1135.02000 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 0.0 : 249.7 317.8 567.5 635.7 885.3 953.5 1203.2 249.7 : 68.2 317.8 386.0 635.7 703.8 953.5 1203.2 317.8 : 249.7 317.8 567.5 635.7 885.3 1135.0 1203.2 567.5 : 68.2 317.8 386.0 635.7 885.4 953.5 1203.2 635.7 : 249.7 317.8 567.5 817.2 885.3 1135.0 1203.2 885.3 : 68.2 317.8 567.5 635.7 885.3 953.5 1203.2 953.5 : 249.7 499.3 567.5 817.2 885.4 1135.0 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.1700 .. 249.6700 cents 181.50000 cents 68.17000 cents 2: 317.8400 .. 499.3400 cents 181.50000 cents 68.17000 cents 3: 386.0100 .. 567.5100 cents 181.50000 cents -113.33000 cents 4: 635.6800 .. 817.1800 cents 181.50000 cents 68.17000 cents 5: 703.8500 .. 885.3500 cents 181.50000 cents -113.33000 cents 6: 953.5200 .. 1135.0200 cents 181.50000 cents 68.17000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 68.17000 cents, class 1 Average step (divided formal octave): 171.8843 cents Largest one step interval : 249.67000 cents Average / Smallest step : 2.521407 Largest / Average step : 1.452547 Largest / Smallest step : 3.662461 Median interval of one step : 249.67000 cents, amount: 4 Most common interval of one step : 249.67000 cents, amount: 4 Least squares average step : 169.29143 cents, oct.: 1185.04000 cents Scale is not proper Scale has Myhill's property chromas: 181.50000 cents and 113.33000 cents, ratio: 1.601518 generators: 2 of 317.84000 cents and 5 of 885.35000 cents ET pair of linear temperament : 15&19 Scale is distributional even Scale is a mode of a 1253-tone equal temperament with octave 1203.190 cents degrees: 260 331 591 662 922 993 1253 generators: 331 and 922 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABA Step pattern size order : LSLSLSL Scale is a Constant Structure, by a margin of 68.17000 cents Scale diversity : 1.223615 Lumma stability : 0.283289 Lumma impropriety factor : 0.188383 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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 : 68.17000 cents Most common intervals : 317.84000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 317.840 635.680 cents Most common triad is 0.0 317.840 885.350 cents, amount: 5 Number of recognisable fifths : 1, average 703.8500 cents Number of recognisable fourths : 1, average 499.3400 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 51.8571 c. M: 77.7857 c. Lebeng 8: 2 0 2 0 2 0 2 N M DE I SD: 34.0850 c. M:-51.1275 c. 9: 2 0 2 1 2 0 2 N T3 I SD: 33.5231 c. M: 50.4644 c. 10: 2 1 2 0 2 1 2 N T3 I SD: 29.7727 c. M: 43.1170 c. 11: 2 1 2 1 2 1 2 P M ME I SD: 20.6055 c. M:-30.9082 c. Superkleismic-7 15: 3 1 3 1 3 1 3 N M DE I SD: 6.0213 c. M:-9.0320 c. Superkleismic-7 19: 4 1 4 1 4 1 4 N M DE I SD: 2.4221 c. M:-3.6332 c. Oljare Diminished 34: 7 2 7 2 7 2 7 N M DE I SD: 1.3029 c. M:-1.9544 c. 53: 11 3 11 3 11 3 11 N M DE I SD: 0.0325 c. M:-0.0487 c. 723: 150 41 150 41 150 41 150 N M DE I SD: 0.0303 c. M:-0.0455 c. 776: 161 44 161 44 161 44 161 N M DE I SD: 0.0261 c. M: 0.0391 c. 829: 172 47 172 47 172 47 172 N M DE I SD: 0.0223 c. M:-0.0335 c. 882: 183 50 183 50 183 50 183 N M DE I SD: 0.0190 c. M:-0.0285 c. 935: 194 53 194 53 194 53 194 N M DE I SD: 0.0161 c. M:-0.0242 c. 988: 205 56 205 56 205 56 205 N M DE I SD: 0.0135 c. M:-0.0203 c. 1041: 216 59 216 59 216 59 216 N M DE I SD: 0.0112 c. M:-0.0167 c. 1094: 227 62 227 62 227 62 227 N M DE I SD: 0.0090 c. M:-0.0136 c. 1147: 238 65 238 65 238 65 238 N M DE I SD: 0.0071 c. M:-0.0107 c. 1200: 249 68 249 68 249 68 249 N M DE I SD: 0.0054 c. M:-0.0081 c. 1253: 260 71 260 71 260 71 260 N M DE I SD: 0.0038 c. M:-0.0057 c. 1306: 271 74 271 74 271 74 271 N M DE I SD: 0.0023 c. M:-0.0035 c. 1359: 282 77 282 77 282 77 282 N M DE I SD: 0.0010 c. M:-0.0014 c. 1412: 293 80 293 80 293 80 293 N M DE I SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 3.1900 cents 2 x x x 3 x x 4 S SD: 33.1759 cents 3 x x 4 x 5 x 6 S SD: 23.1818 cents 4 x 5 x 6 x 7:8 S SD: 24.1421 cents 5 x 6:7 x 8:9:10 S SD: 19.4746 cents 6:7 x 8:9:10 x 12 S SD: 19.5190 cents 7:8 x x 10 x 12:14 S SD: 8.2879 cents 9:10:11 x 13:15:16:18 SD: 14.1650 cents 10 x 12:14 x 17 x 20 SD: 9.1802 cents 11 x 13:15:16:18:19:22 SD: 9.2188 cents 12:14 x x 17:20:21:24 SD: 8.0231 cents 15:17:18:21:22:25:26:30 SD: 6.5147 cents 17:20 x 24:25:28:29:34 SD: 10.8063 cents 18:21:22:25:26:30:31:36 SD: 5.2241 cents 20:23:24:28:29:33:35:40 SD: 4.3554 cents 25:29:30:35:36:42:43:50 SD: 3.7535 cents 31:36:37:43:45:52:54:62 SD: 3.1155 cents 34:39:41:47:49:57:59:68 SD: 2.6290 cents 39:45:47:54:56:65:68:78 SD: 2.1482 cents 45:52:54:62:65:75:78:90 SD: 1.9172 cents 54:62:65:75:78:90:94:108 SD: 1.8683 cents 59:68:71:82:85:98:102:118 SD: 1.6389 cents 64:74:77:89:92:107:111:128 SD: 1.4568 cents 65:75:78:90:94:108:113:130 SD: 1.4254 cents 70:81:84:97:101:117:121:140 SD: 1.3129 cents 79:91:95:110:114:132:137:158 SD: 1.2715 cents 84:97:101:117:121:140:146:168 SD: 1.2582 cents 90:104:108:125:130:150:156:180 SD: 0.6440 cents 129:149:155:179:186:215:224:258 SD: 0.6289 cents 162:187:195:225:234:270:281:325 SD: 0.6266 cents 178:206:214:247:257:297:309:357 SD: 0.5947 cents 180:208:216:250:260:300:312:361 SD: 0.5100 cents 193:223:232:268:279:322:335:387 SD: 0.4642 cents 199:230:239:276:287:332:345:399 SD: 0.4237 cents 214:247:257:297:309:357:371:429 SD: 0.3123 cents 219:253:263:304:316:365:380:439 SD: 0.2687 cents 302:349:363:419:436:504:524:605 SD: 0.2651 cents 309:357:371:429:446:515:536:619 SD: 0.2574 cents 322:372:387:447:465:537:559:645 SD: 0.2463 cents 343:396:412:476:495:572:595:687 SD: 0.2016 cents 433:500:520:601:625:722:751:868 SD: 0.1978 cents 451:521:542:626:651:752:782:904 SD: 0.1521 cents 521:602:626:723:752:869:904:1044 SD: 0.1314 cents 536:619:644:744:774:894:930:1074 SD: 0.1216 cents