Scala analysis: prop19_7d
Melodic minor
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 189.474 cents 189.473684 2: 315.789 cents 315.789474 3: 505.263 cents 505.263158 4: 694.737 cents 694.736842 5: 884.211 cents 884.210526 6: 1073.684 cents 1073.684211 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 126.3158 cents 126.3158 1: 189.4737 cents 189.4737 2: 126.3158 cents 126.3158 3: 189.4737 cents 189.4737 4: 189.4737 cents 189.4737 5: 189.4737 cents 189.4737 6: 189.4737 cents 189.4737 7: 126.3158 cents 126.3158
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 126.31579 cents 1: 5 189.47368 cents 2: 4 315.78947 cents 2: 3 378.94737 cents 3: 1 442.10526 cents 3: 4 505.26316 cents 3: 2 568.42105 cents 4: 2 631.57895 cents 4: 4 694.73684 cents 4: 1 757.89474 cents 5: 3 821.05263 cents 5: 4 884.21053 cents 6: 5 1010.52632 cents 6: 2 1073.68421 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.33333 = 7/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 189.5 315.8 505.3 694.7 884.2 1073.7 1200.0 189.5 : 126.3 315.8 505.3 694.7 884.2 1010.5 1200.0 315.8 : 189.5 378.9 568.4 757.9 884.2 1073.7 1200.0 505.3 : 189.5 378.9 568.4 694.7 884.2 1010.5 1200.0 694.7 : 189.5 378.9 505.3 694.7 821.1 1010.5 1200.0 884.2 : 189.5 315.8 505.3 631.6 821.1 1010.5 1200.0 1073.7: 126.3 315.8 442.1 631.6 821.1 1010.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.3158 .. 189.4737 cents 63.15789 cents 126.31579 cents 2: 315.7895 .. 378.9474 cents 63.15789 cents 126.31579 cents 3: 442.1053 .. 568.4211 cents 126.31579 cents 63.15789 cents 4: 631.5789 .. 757.8947 cents 126.31579 cents 63.15790 cents 5: 821.0526 .. 884.2105 cents 63.15789 cents 63.15789 cents 6: 1010.5263 .. 1073.6842 cents 63.15790 cents 126.31579 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 126.31579 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 189.47368 cents Average / Smallest step : 1.357143 Largest / Average step : 1.105263 Largest / Smallest step : 1.500000 Median interval of one step : 189.47368 cents, amount: 5 Most common interval of one step : 189.47368 cents, amount: 5 Least squares average step : 174.13534 cents, oct.: 1218.94737 cents Scale is strictly proper Scale is 3-distributional even Scale is a mode of a 19-tone equal temperament with octave 1200.000 cents degrees: 3 5 8 11 14 17 19 Least number of segments generator : 14 of 884.211 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 11 of 694.737 cents and inv. generated superset size: 9 = 2 more = 128.571% Number of contiguous 1-step segments: 0 Scale is fully connected major-minor triadic in 19-tone equal temperament Step pattern alph. order: ABAAAAB Step pattern size order : LSLLLLS Interval vector is [ 0 2 5 0 4 3 1 4 2 ] Scale is a Constant Structure, by a margin of 63.15789 cents Scale diversity : 1.332560 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.578947 Rothenberg efficiency : 0.598639 redundancy: 0.401361 Efficiency x scale size : 4.190476 Number of different interval sizes : 14 = 2.33333 / class Number of one step interval sizes : 2 Highest interval variety : 3 Mean interval variety : 2.33333 = 7/3 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 63.15789 cents Most common intervals : 189.47368 cents & inv., amount: 5 Most common triad is 0.0 189.474 1010.526 cents, amount: 3 Number of recognisable fifths : 4, average 694.7368 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 71.4286% Limited inverse transpositions : 1 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 0-1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 23.8714 c. M: 45.1128 c. Lebeng 11: 2 1 2 1 2 2 1 P M ME S SD: 25.6773 c. M: 40.1914 c. 12: 2 1 2 2 2 2 1 P D3 S SD: 13.9250 c. M:-26.3158 c. Melodic Minor ascending, Jazz Minor, Minor-Major, Mela Gaurimanohari, Raga Kedar Bahar, Patdip (Patadeep), Velavali, Deshi(2), Mischung 1, Hawaiian 19: 3 2 3 3 3 3 2 SP D3 S SD: 0.0000 c. M: 0.0000 c. Nineteen-tone Melodic Minor
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 3.6091 cents 3 x x 4 x 5 x 6 S SD: 2.4066 cents 4 x 5 x 6:7 x 8 S SD: 27.5970 cents 5 x 6:7 x 8:9:10 S SD: 23.7377 cents 6 x 7:8:9:10:11:12 S SD: 9.2628 cents 7:8 x 9:10:12:13:14 S SD: 20.4317 cents 8:9:10:11:12:13:15:16 SD: 13.9065 cents 9:10:11:12:13:15:17:18 SD: 10.3296 cents 14:16:17:19:21:23:26:28 SD: 8.2937 cents 15:17:18:20:22:25:28:30 SD: 6.1346 cents 18:20:22:24:27:30:33:36 S SD: 5.9684 cents 20:22:24:27:30:33:37:40 SD: 5.0052 cents 24:27:29:32:36:40:45:48 SD: 3.6849 cents 26:29:31:35:39:43:48:52 SD: 3.4758 cents 35:39:42:47:52:58:65:70 SD: 2.1066 cents 44:49:53:59:66:73:82:88 SD: 1.9482 cents 45:50:54:60:67:75:84:90 SD: 1.9237 cents 50:56:60:67:75:83:93:100 SD: 1.7257 cents 51:57:61:68:76:85:95:102 SD: 1.5843 cents 59:66:71:79:88:98:110:118 SD: 1.4722 cents 69:77:83:92:103:115:128:138 SD: 1.3188 cents 71:79:85:95:106:118:132:142 SD: 1.1414 cents 79:88:95:106:118:132:147:158 SD: 1.0656 cents 85:95:102:114:127:142:158:170 SD: 0.8605 cents 95:106:114:127:142:158:177:190 SD: 0.8305 cents 115:128:138:154:172:192:214:230 SD: 0.8280 cents 120:134:144:161:179:200:223:240 SD: 0.6682 cents 121:135:145:162:181:202:225:242 SD: 0.6623 cents 130:145:156:174:194:217:242:260 SD: 0.5662 cents 156:174:187:209:233:260:290:312 SD: 0.3347 cents 225:251:270:301:336:375:418:450 SD: 0.2986 cents 269:300:323:360:402:448:500:538 SD: 0.2872 cents 304:339:365:407:454:507:565:608 SD: 0.2702 cents 310:346:372:415:463:517:576:620 SD: 0.2688 cents 330:368:396:442:493:550:614:660 SD: 0.2326 cents 336:375:403:450:502:560:625:672 SD: 0.2225 cents 354:395:425:474:529:590:658:708 SD: 0.1589 cents 405:452:486:542:605:675:753:810 SD: 0.1490 cents 484:540:581:648:723:807:900:968 SD: 0.1433 cents 510:569:612:683:762:850:948:1020 SD: 0.1064 cents 555:619:666:743:829:925:1032:1110 SD: 0.0914 cents