Scala analysis: sf1
sf1 = Sikah
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 154.839 cents 154.838710 2: 348.387 cents 348.387097 3: 541.935 cents 541.935484 4: 696.774 cents 696.774194 5: 851.613 cents 851.612903 6: 1045.161 cents 1045.161290 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 154.8387 cents 154.8387 1: 154.8387 cents 154.8387 2: 193.5484 cents 193.5484 3: 193.5484 cents 193.5484 4: 154.8387 cents 154.8387 5: 154.8387 cents 154.8387 6: 193.5484 cents 193.5484 7: 154.8387 cents 154.8387
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 154.83871 cents 1: 3 193.54839 cents 2: 2 309.67742 cents 2: 4 348.38710 cents 2: 1 387.09677 cents 3: 5 503.22581 cents 3: 2 541.93548 cents 4: 2 658.06452 cents 4: 5 696.77419 cents 5: 1 812.90323 cents 5: 4 851.61290 cents 5: 2 890.32258 cents 6: 3 1006.45161 cents 6: 4 1045.16129 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 : 154.8 348.4 541.9 696.8 851.6 1045.2 1200.0 154.8 : 193.5 387.1 541.9 696.8 890.3 1045.2 1200.0 348.4 : 193.5 348.4 503.2 696.8 851.6 1006.5 1200.0 541.9 : 154.8 309.7 503.2 658.1 812.9 1006.5 1200.0 696.8 : 154.8 348.4 503.2 658.1 851.6 1045.2 1200.0 851.6 : 193.5 348.4 503.2 696.8 890.3 1045.2 1200.0 1045.2: 154.8 309.7 503.2 696.8 851.6 1006.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 154.8387 .. 193.5484 cents 38.70968 cents 154.83871 cents 2: 309.6774 .. 387.0968 cents 77.41936 cents 116.12903 cents 3: 503.2258 .. 541.9355 cents 38.70968 cents 116.12903 cents 4: 658.0645 .. 696.7742 cents 38.70968 cents 116.12903 cents 5: 812.9032 .. 890.3226 cents 77.41935 cents 116.12903 cents 6: 1006.4516 .. 1045.1613 cents 38.70968 cents 116.12903 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 154.83871 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 193.54839 cents Average / Smallest step : 1.107143 Largest / Average step : 1.129032 Largest / Smallest step : 1.250000 Median interval of one step : 154.83871 cents, amount: 4 Most common interval of one step : 154.83871 cents, amount: 4 Least squares average step : 172.81106 cents, oct.: 1209.67742 cents Scale is strictly proper Scale is 3-distributional even Scale is a mode of a 31-tone equal temperament with octave 1200.000 cents degrees: 4 9 14 18 22 27 31 Least number of segments generator : 17 of 658.065 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 22 of 851.613 cents and inv. generated superset size: 9 = 2 more = 128.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBAABA Step pattern size order : SLLSSLS Interval vector is [ 0 0 0 4 3 0 0 2 4 1 0 0 5 2 0 ] Scale is a Constant Structure, by a margin of 116.12903 cents Scale diversity : 1.246370 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.741935 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 : 38.70968 cents Most common intervals : 503.22581 cents & inv., amount: 5 Most common triad is 0.0 503.226 696.774 cents, amount: 3 Number of recognisable fifths : 5, average 696.7742 cents Scale is Hypolydian octave species of abstract tetrachord Scale is Hypophrygian octave species of abstract tetrachord Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 71.4286% Limited inverse transpositions : 4 Inversional symmetry on degrees : 2 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 14.6309 c. M: 27.6498 c. Lebeng 17: 2 3 3 2 2 3 2 SP D3 S SD: 12.0490 c. M:-22.7704 c. 22: 3 3 4 3 3 3 3 SP M ME S SD: 13.1503 c. M: 21.1144 c. 24: 3 4 4 3 3 4 3 SP D3 S SD: 4.2673 c. M:-8.0645 c. Maqam Sikah (Segah), Neutral Diatonic Hypolydian 31: 4 5 5 4 4 5 4 SP D3 S SD: 0.0000 c. M: 0.0000 c. Neutral Diatonic Hypolydian
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: 2.5904 cents 3 x x 4 x 5 x 6 S SD: 18.2533 cents 4 x 5 x 6 x 7:8 S SD: 21.3488 cents 5 x 6:7 x 8:9:10 S SD: 14.0243 cents 6 x 7:8:9:10:11:12 S SD: 16.4046 cents 7:8:9:10 x 11:13:14 SD: 26.1054 cents 8:9:10:11:12:13:15:16 SD: 11.0124 cents 10:11:12:14:15:16:18:20 S SD: 10.1491 cents 12:13:15:16:18:20:22:24 SD: 9.8418 cents 13:14:16:18:19:21:24:26 SD: 8.5610 cents 14:15:17:19:21:23:26:28 SD: 6.9565 cents 18:20:22:25:27:29:33:36 SD: 6.6941 cents 19:21:23:26:28:31:35:38 SD: 5.4807 cents 22:24:27:30:33:36:40:44 S SD: 2.0780 cents 41:45:50:56:61:67:75:82 SD: 1.7501 cents 54:59:66:74:81:88:99:108 SD: 1.4164 cents 63:69:77:86:94:103:115:126 SD: 0.9608 cents 85:93:104:116:127:139:155:170 SD: 0.9386 cents 95:104:116:130:142:155:174:190 SD: 0.8524 cents 107:117:131:146:160:175:196:214 SD: 0.7373 cents 117:128:143:160:175:191:214:234 SD: 0.4824 cents 139:152:170:190:208:227:254:278 SD: 0.4541 cents 193:211:236:264:289:316:353:386 SD: 0.4310 cents 212:232:259:290:317:347:388:424 SD: 0.4123 cents 228:249:279:312:341:373:417:456 SD: 0.4038 cents 234:256:286:320:350:383:428:468 SD: 0.2674 cents 256:280:313:350:383:419:468:512 SD: 0.2579 cents 269:294:329:368:402:440:492:538 SD: 0.2489 cents 310:339:379:424:464:507:567:620 SD: 0.2215 cents 351:384:429:480:525:574:642:702 SD: 0.1798 cents 373:408:456:510:558:610:682:746 SD: 0.1503 cents 525:574:642:718:785:859:960:1050 SD: 0.1406 cents 557:609:681:762:833:911:1019:1114 SD: 0.1373 cents 579:633:708:792:866:947:1059:1158 SD: 0.0979 cents