Scala analysis: beep9-pelog
Beep-9 approximation of pelog scale
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.300 cents 101.300000 2: 260.260 cents 260.260000 3: 520.520 cents 520.520000 4: 679.480 cents 679.480000 5: 780.780 cents 780.780000 6: 939.740 cents 939.740000 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 260.2600 cents 260.2600 1: 101.3000 cents 101.3000 2: 158.9600 cents 158.9600 3: 260.2600 cents 260.2600 4: 158.9600 cents 158.9600 5: 101.3000 cents 101.3000 6: 158.9600 cents 158.9600 7: 260.2600 cents 260.2600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 101.30000 cents 1: 3 158.96000 cents 1: 2 260.26000 cents 2: 3 260.26000 cents 2: 1 361.56000 cents 2: 3 419.22000 cents 3: 1 419.22000 cents 3: 5 520.52000 cents 3: 1 578.18000 cents 4: 1 621.82000 cents 4: 5 679.48000 cents 4: 1 780.78000 cents 5: 3 780.78000 cents 5: 1 838.44000 cents 5: 3 939.74000 cents 6: 2 939.74000 cents 6: 3 1041.04000 cents 6: 2 1098.70000 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 101.3 260.3 520.5 679.5 780.8 939.7 1200.0 101.3 : 159.0 419.2 578.2 679.5 838.4 1098.7 1200.0 260.3 : 260.3 419.2 520.5 679.5 939.7 1041.0 1200.0 520.5 : 159.0 260.3 419.2 679.5 780.8 939.7 1200.0 679.5 : 101.3 260.3 520.5 621.8 780.8 1041.0 1200.0 780.8 : 159.0 419.2 520.5 679.5 939.7 1098.7 1200.0 939.7 : 260.3 361.6 520.5 780.8 939.7 1041.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.3000 .. 260.2600 cents 158.96000 cents 101.30000 cents 2: 260.2600 .. 419.2200 cents 158.96000 cents 1/1, 0.0000 cents 3: 419.2200 .. 578.1800 cents 158.96000 cents 1/1, 0.0000 cents 4: 621.8200 .. 780.7800 cents 158.96000 cents 43.64000 cents 5: 780.7800 .. 939.7400 cents 158.96000 cents 1/1, 0.0000 cents 6: 939.7400 .. 1098.7000 cents 158.96000 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 101.30000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 260.26000 cents Average / Smallest step : 1.692286 Largest / Average step : 1.518183 Largest / Smallest step : 2.569200 Median interval of one step : 158.96000 cents, amount: 3 Most common interval of one step : 158.96000 cents, amount: 3 Least squares average step : 163.16886 cents, oct.: 1142.18200 cents Scale is proper Scale has trivalence property Scale is a mode of a 770-tone equal temperament with octave 2/1 degrees: 65 167 334 436 501 603 770 Least number of segments generator : 387 of 603.117 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 603 of 939.740 cents and inv. generated superset size: 8 = 1 more = 114.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBABC Step pattern size order : SMLMSML Scale is not a Constant Structure Scale diversity : 1.350795 Rothenberg stability : 0.571429 = 4/7 Lumma stability : 0.205200 Rothenberg efficiency : 0.609524 redundancy: 0.390476 Efficiency x scale size : 4.266667 Number of different interval sizes : 14 = 2.33333 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 43.64000 cents Scale is a chain of 3 triads 0.0 419.220 679.480 cents Most common triad is 0.0 260.260 520.520 cents, amount: 4 Number of recognisable fifths : 0 Scale contains two identical disjunct tetrachords Formal octave complements present : 5 = 71.4286% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 69.7856 c. M: 101.3000 c. 8: 0 1 2 1 1 1 2 N D3 SD: 71.9482 c. M: 110.2600 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 16.0624 c. M:-32.0333 c. Pseudo Pelog, Pelogic-7, Antiionian 14: 1 2 3 2 1 2 3 P T3 SD: 7.8151 c. M: 15.5857 c. Superpelog-Pelog 23: 2 3 5 3 2 3 5 P T3 SD: 1.5283 c. M:-3.0478 c. Superpelog-Pelog 60: 5 8 13 8 5 8 13 P T3 SD: 0.6519 c. M: 1.3000 c. 83: 7 11 18 11 7 11 18 P T3 SD: 0.0477 c. M: 0.0952 c. 438: 37 58 95 58 37 58 95 P T3 SD: 0.0350 c. M:-0.0699 c. 521: 44 69 113 69 44 69 113 P T3 SD: 0.0218 c. M:-0.0436 c. 604: 51 80 131 80 51 80 131 P T3 SD: 0.0123 c. M:-0.0245 c. 687: 58 91 149 91 58 91 149 P T3 SD: 0.0050 c. M:-0.0100 c. 770: 65 102 167 102 65 102 167 P T3 SD: 0.0007 c. M: 0.0013 c.
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: 11.2375 cents 3 x x 4 x x 5:6 S SD: 19.9227 cents 4 x 5 x 6 x 7:8 S SD: 32.8259 cents 5 x 6:7 x 8:9:10 S SD: 23.7104 cents 6 x 7:8:9 x 10:12 S SD: 12.8391 cents 7 x 8:9:10:11:12:14 S SD: 18.2840 cents 8 x 9:11:12:13:14:16 SD: 15.8506 cents 9 x 10:12:13:14:15:18 S SD: 18.0452 cents 10:11:12:14:15:16:17:20 SD: 16.2891 cents 11:12:13:15:16:17:19:22 SD: 10.3698 cents 12:13:14:16:18:19:21:24 SD: 8.4607 cents 14:15:16:19:21:22:24:28 SD: 6.0502 cents 17:18:20:23:25:27:29:34 SD: 5.0136 cents 19:20:22:26:28:30:33:38 SD: 4.7953 cents 29:31:34:39:43:46:50:58 SD: 4.1034 cents 31:33:36:42:46:49:53:62 SD: 2.7053 cents 37:39:43:50:55:58:64:74 SD: 2.1954 cents 48:51:56:65:71:75:83:96 SD: 2.0965 cents 49:52:57:66:73:77:84:98 SD: 1.9646 cents 54:57:63:73:80:85:93:108 SD: 1.6236 cents 68:72:79:92:101:107:117:136 SD: 1.1012 cents 79:84:92:107:117:124:136:158 SD: 1.1008 cents 86:91:100:116:127:135:148:172 SD: 0.9006 cents 100:106:116:135:148:157:172:200 SD: 0.5229 cents 154:163:179:208:228:242:265:308 SD: 0.4914 cents 165:175:192:223:244:259:284:330 SD: 0.4662 cents 179:190:208:242:265:281:308:358 SD: 0.3598 cents 216:229:251:292:320:339:372:432 SD: 0.3241 cents 233:247:271:315:345:366:401:466 SD: 0.3238 cents 265:281:308:358:392:416:456:530 SD: 0.2400 cents 302:320:351:408:447:474:520:604 SD: 0.2384 cents 314:333:365:424:465:493:540:628 SD: 0.1977 cents 333:353:387:450:493:523:573:666 SD: 0.1653 cents 462:490:537:624:684:725:795:924 SD: 0.1320 cents 516:547:600:697:764:810:888:1032 SD: 0.1304 cents 530:562:616:716:785:832:912:1060 SD: 0.0933 cents