Scala analysis: xen18-erlich-passion-05
1L 4s MOS for Passion, L=804.71, s=98.40
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 98.400 cents 98.400000 2: 196.800 cents 196.800000 3: 1001.510 cents 1001.510000 4: 1099.910 cents 1099.910000 5: 1198.310 cents 1198.310000
SHOW/INTERVAL
0: 98.4000 cents 98.4000 1: 98.4000 cents 98.4000 2: 98.4000 cents 98.4000 3: 804.7100 cents 804.7100 4: 98.4000 cents 98.4000 5: 98.4000 cents 98.4000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 98.40000 cents 1: 1 804.71000 cents 2: 3 196.80000 cents 2: 2 903.11000 cents 3: 2 295.20000 cents 3: 3 1001.51000 cents 4: 1 393.60000 cents 4: 4 1099.91000 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 0.0 : 98.4 196.8 1001.5 1099.9 1198.3 98.4 : 98.4 903.1 1001.5 1099.9 1198.3 196.8 : 804.7 903.1 1001.5 1099.9 1198.3 1001.5: 98.4 196.8 295.2 393.6 1198.3 1099.9: 98.4 196.8 295.2 1099.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.4000 .. 804.7100 cents 706.31000 cents 98.40000 cents 2: 196.8000 .. 903.1100 cents 706.31000 cents -607.91000 cents 3: 295.2000 .. 1001.5100 cents 706.31000 cents -607.91000 cents 4: 393.6000 .. 1099.9100 cents 706.31000 cents -607.91000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 98.40000 cents, class 1 Average step (divided formal octave): 239.6620 cents Largest one step interval : 804.71000 cents Average / Smallest step : 2.435589 Largest / Average step : 3.357687 Largest / Smallest step : 8.177947 Median interval of one step : 98.40000 cents, amount: 4 Most common interval of one step : 98.40000 cents, amount: 4 Least squares average step : 252.50400 cents, oct.: 1262.52000 cents Scale is not proper Scale has Myhill's property chromas: 706.31000 cents and 607.91000 cents, ratio: 1.161866 generators: 1 of 98.40000 cents and 4 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 548-tone equal temperament with octave 1198.310 cents degrees: 45 90 458 503 548 generators: 45 and 503 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : SSLSS Scale is a Constant Structure, by a margin of 98.40000 cents Scale diversity : 1.095829 Lumma stability : 0.164231 Lumma impropriety factor : 0.671537 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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 : 98.40000 cents Most common intervals : 98.40000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 196.800 1099.910 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 0 1 3 1 0 N T3 I SD: 67.8814 c. M: 98.4000 c. 6: 0 1 4 0 1 N T3 SD: 63.1902 c. M: 101.3183 c. 7: 1 0 5 0 1 N T3 I SD: 48.8016 c. M: 72.7871 c. 8: 1 0 6 0 1 N T3 I SD: 44.0493 c. M: 51.3888 c. 9: 1 0 6 1 1 N G SD: 47.5298 c. M: 69.4911 c. 10: 1 1 6 1 1 N M DE I SD: 30.3080 c. M:-42.8620 c. 11: 1 1 7 1 1 N M DE I SD: 14.9020 c. M:-21.0745 c. 12: 1 1 8 1 1 N M DE I SD: 2.0636 c. M:-2.9183 c. 37: 3 3 25 3 3 N M DE I SD: 1.7532 c. M:-2.4795 c. 49: 4 4 33 4 4 N M DE I SD: 0.8185 c. M:-1.1576 c. 61: 5 5 41 5 5 N M DE I SD: 0.2515 c. M:-0.3557 c. 73: 6 6 49 6 6 N M DE I SD: 0.1290 c. M:-0.1825 c. 134: 11 11 90 11 11 N M DE I SD: 0.0442 c. M:-0.0625 c. 207: 17 17 139 17 17 N M DE I SD: 0.0169 c. M: 0.0239 c. 341: 28 28 229 28 28 N M DE I SD: 0.0071 c. M:-0.0101 c. 548: 45 45 368 45 45 N M DE I SD: 0.0019 c. M:-0.0027 c. 889: 73 73 597 73 73 N M DE I SD: 0.0015 c. M: 0.0022 c. 1437: 118 118 965 118 118 N M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x x 2 S SD: 1.6900 cents 2 x x x x 4 S SD: 1.6900 cents 3 x 4:5 x 6 S SD: 107.7424 cents 4 x 5:7 x 8 SD: 64.1063 cents 5 x 6:9 x 10 S SD: 39.9790 cents 6 x 7:11 x 12 SD: 28.2896 cents 7 x 8:12:13:14 S SD: 20.3962 cents 8 x 9:14:15:16 SD: 8.8642 cents 9 x 10:16:17:18 SD: 3.8792 cents 10 x 11:18:19:20 SD: 9.3543 cents 11 x 12:20:21:22 SD: 15.0779 cents 12:13 x 21:23:24 SD: 14.5396 cents 13:14:15:23:25:26 SD: 13.7366 cents 14:15:16:25:26:28 SD: 9.8553 cents 15:16:17:27:28:30 SD: 6.9552 cents 16:17:18:29:30:32 SD: 6.3864 cents 17:18:19:30:32:34 SD: 3.8779 cents 18:19:20:32:34:36 SD: 3.2483 cents 32:34:36:57:60:64 SD: 3.0729 cents 33:35:37:59:62:66 SD: 2.0212 cents 50:53:56:89:94:100 SD: 1.6661 cents 51:54:57:91:96:102 SD: 1.3521 cents 82:87:92:146:155:164 SD: 1.2431 cents 83:88:93:148:157:166 SD: 0.9805 cents 101:107:113:180:191:202 SD: 0.9445 cents 116:123:130:207:219:232 SD: 0.7371 cents 133:141:149:237:251:266 SD: 0.7010 cents 134:142:150:239:253:268 SD: 0.6109 cents 189:200:212:337:357:378 SD: 0.5828 cents 190:201:213:339:359:380 SD: 0.5770 cents 207:219:232:369:391:414 SD: 0.4785 cents 240:254:269:428:453:480 SD: 0.3692 cents 258:273:289:460:487:515 SD: 0.3683 cents 291:308:326:519:549:581 SD: 0.3258 cents 323:342:362:576:610:645 SD: 0.3012 cents 341:361:382:608:644:681 SD: 0.2590 cents 373:395:418:665:704:745 SD: 0.2460 cents 374:396:419:667:706:747 SD: 0.1694 cents 480:508:538:856:906:959 SD: 0.1502 cents 481:509:539:858:908:961 SD: 0.1387 cents 498:527:558:888:940:995 SD: 0.0992 cents