Scala analysis: xen11-wolf-pelog-extended
Pelog based on stacking 7/6, extended to 9 tones
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 134.500 cents 134.500000 2: 266.900 cents 266.900000 3: 401.400 cents 401.400000 4: 533.800 cents 533.800000 5: 666.000 cents 666.000000 6: 800.700 cents 800.700000 7: 932.900 cents 932.900000 8: 1067.600 cents 1067.600000 9: 1202.100 cents 1202.100000
SHOW/INTERVAL
0: 134.5000 cents 134.5000 1: 134.5000 cents 134.5000 2: 132.4000 cents 132.4000 3: 134.5000 cents 134.5000 4: 132.4000 cents 132.4000 5: 132.2000 cents 132.2000 6: 134.7000 cents 134.7000 7: 132.2000 cents 132.2000 8: 134.7000 cents 134.7000 9: 134.5000 cents 134.5000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 132.20000 cents 1: 2 132.40000 cents 1: 3 134.50000 cents 1: 2 134.70000 cents 2: 1 264.60000 cents 2: 6 266.90000 cents 2: 1 269.00000 cents 2: 1 269.20000 cents 3: 2 399.10000 cents 3: 2 399.30000 cents 3: 3 401.40000 cents 3: 1 401.60000 cents 3: 1 403.70000 cents 4: 2 531.50000 cents 4: 3 533.80000 cents 4: 2 535.90000 cents 4: 2 536.10000 cents 5: 2 666.00000 cents 5: 2 666.20000 cents 5: 3 668.30000 cents 5: 2 670.60000 cents 6: 1 798.40000 cents 6: 1 800.50000 cents 6: 3 800.70000 cents 6: 2 802.80000 cents 6: 2 803.00000 cents 7: 1 932.90000 cents 7: 1 933.10000 cents 7: 6 935.20000 cents 7: 1 937.50000 cents 8: 2 1067.40000 cents 8: 3 1067.60000 cents 8: 2 1069.70000 cents 8: 2 1069.90000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.25000 = 17/4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 134.5 266.9 401.4 533.8 666.0 800.7 932.9 1067.6 1202.1 134.5 : 132.4 266.9 399.3 531.5 666.2 798.4 933.1 1067.6 1202.1 266.9 : 134.5 266.9 399.1 533.8 666.0 800.7 935.2 1069.7 1202.1 401.4 : 132.4 264.6 399.3 531.5 666.2 800.7 935.2 1067.6 1202.1 533.8 : 132.2 266.9 399.1 533.8 668.3 802.8 935.2 1069.7 1202.1 666.0 : 134.7 266.9 401.6 536.1 670.6 803.0 937.5 1069.9 1202.1 800.7 : 132.2 266.9 401.4 535.9 668.3 802.8 935.2 1067.4 1202.1 932.9 : 134.7 269.2 403.7 536.1 670.6 803.0 935.2 1069.9 1202.1 1067.6: 134.5 269.0 401.4 535.9 668.3 800.5 935.2 1067.4 1202.1 1202.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.2000 .. 134.7000 cents 2.50000 cents 132.20000 cents 2: 264.6000 .. 269.2000 cents 4.60000 cents 129.90000 cents 3: 399.1000 .. 403.7000 cents 4.60000 cents 129.90000 cents 4: 531.5000 .. 536.1000 cents 4.60000 cents 127.80000 cents 5: 666.0000 .. 670.6000 cents 4.60000 cents 129.90000 cents 6: 798.4000 .. 803.0000 cents 4.60000 cents 127.80000 cents 7: 932.9000 .. 937.5000 cents 4.60000 cents 129.90000 cents 8: 1067.4000 .. 1069.9000 cents 2.50000 cents 129.90000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 132.20000 cents, class 1 Average step (divided formal octave): 133.5667 cents Largest one step interval : 134.70000 cents Average / Smallest step : 1.010338 Largest / Average step : 1.008485 Largest / Smallest step : 1.018911 Median interval of one step : 134.50000 cents, amount: 3 Most common interval of one step : 134.50000 cents, amount: 3 Least squares average step : 133.44526 cents, oct.: 1201.00737 cents Scale is strictly proper Step pattern alph. order: ABABCDCDA Step pattern size order : CBCBADADC Scale is a Constant Structure, by a margin of 127.80000 cents Scale diversity : 1.023096 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.972881 Rothenberg efficiency : 0.414462 redundancy: 0.585538 Efficiency x scale size : 3.730159 Number of different interval sizes : 34 = 4.25000 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.25000 = 17/4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 0.20000 cents Most common intervals : 266.90000 cents & inv., amount: 6 Most common triad is 0.0 266.900 935.200 cents, amount: 3 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 55.5556% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 4.6000 cents: 1 2 3 4 5 6 7 8 Limited inverse transpositions with margin 4.6000 cents: 1 2 3 4 5 6 7 8 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 8-9 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 1.0866 c. M:-2.0667 c. Pelog Nawanada: Sunda 236: 26 26 27 26 26 26 26 27 26 SP M ME S SD: 1.4103 c. M: 2.0653 c. 239: 27 26 27 26 26 27 26 27 27 SP D3 S SD: 1.3304 c. M: 2.4042 c. 240: 27 26 27 27 26 27 26 27 27 SP D3 SD: 1.0717 c. M:-2.1363 c. 242: 27 27 27 26 27 27 27 27 27 SP M ME S SD: 1.0662 c. M: 2.2930 c. 245: 27 27 28 27 27 27 27 28 27 SP M ME S SD: 1.3683 c. M: 2.0237 c. 248: 28 27 28 27 27 28 27 28 28 SP D3 S SD: 1.2428 c. M: 2.2419 c. 249: 28 27 28 28 27 28 27 28 28 SP D3 SD: 1.0259 c. M:-2.0759 c. 254: 28 28 29 28 28 28 28 29 28 SP M ME S SD: 1.3304 c. M: 1.9850 c. 257: 29 28 29 28 28 29 28 29 29 SP D3 S SD: 1.1614 c. M: 2.0911 c. 258: 29 28 29 29 28 29 28 29 29 SP D3 SD: 0.9848 c. M:-2.0198 c. 263: 29 29 30 29 29 29 29 30 29 SP M ME S SD: 1.2960 c. M: 1.9490 c. 266: 30 29 30 29 29 30 29 30 30 SP D3 S SD: 1.0855 c. M: 1.9504 c. 267: 30 29 30 30 29 30 29 30 30 SP D3 SD: 0.9478 c. M:-1.9674 c. 272: 30 30 31 30 30 30 30 31 30 SP M ME S SD: 1.2649 c. M: 1.9154 c. 275: 31 30 31 30 30 31 30 31 31 SP D3 S SD: 1.0146 c. M: 1.8189 c. 276: 31 30 31 31 30 31 30 31 31 SP D3 SD: 0.9146 c. M:-1.9185 c. 284: 32 31 32 31 31 32 31 32 32 SP D3 S SD: 0.9482 c. M: 1.6958 c. 285: 32 31 32 32 31 32 31 32 32 SP D3 SD: 0.8849 c. M:-1.8726 c. 293: 33 32 33 32 32 33 32 33 33 SP D3 S SD: 0.8859 c. M: 1.5802 c. 294: 33 32 33 33 32 33 32 33 33 SP D3 SD: 0.8582 c. M:-1.8296 c. 302: 34 33 34 33 33 34 33 34 34 SP D3 S SD: 0.8274 c. M: 1.4715 c. 311: 35 34 35 34 34 35 34 35 35 SP D3 S SD: 0.7722 c. M: 1.3691 c. 320: 36 35 36 35 35 36 35 36 36 SP D3 S SD: 0.7201 c. M: 1.2725 c. 329: 37 36 37 36 36 37 36 37 37 SP D3 S SD: 0.6709 c. M: 1.1812 c. 338: 38 37 38 37 37 38 37 38 38 SP D3 S SD: 0.6244 c. M: 1.0947 c. 347: 39 38 39 38 38 39 38 39 39 SP D3 S SD: 0.5803 c. M: 1.0127 c. 356: 40 39 40 39 39 40 39 40 40 SP D3 S SD: 0.5385 c. M: 0.9348 c. 365: 41 40 41 40 40 41 40 41 41 SP D3 S SD: 0.4987 c. M: 0.8608 c. 374: 42 41 42 41 41 42 41 42 42 SP D3 S SD: 0.4609 c. M: 0.7904 c. 383: 43 42 43 42 42 43 42 43 43 SP D3 S SD: 0.4249 c. M: 0.7232 c. 392: 44 43 44 43 43 44 43 44 44 SP D3 S SD: 0.3906 c. M: 0.6592 c. 401: 45 44 45 44 44 45 44 45 45 SP D3 S SD: 0.3579 c. M: 0.5980 c. 410: 46 45 46 45 45 46 45 46 46 SP D3 S SD: 0.3268 c. M: 0.5395 c. 419: 47 46 47 46 46 47 46 47 47 SP D3 S SD: 0.2970 c. M: 0.4835 c. 428: 48 47 48 47 47 48 47 48 48 SP D3 S SD: 0.2686 c. M: 0.4299 c. 437: 49 48 49 48 48 49 48 49 49 SP D3 S SD: 0.2414 c. M: 0.3785 c. 446: 50 49 50 49 49 50 49 50 50 SP D3 S SD: 0.2155 c. M: 0.3291 c. 455: 51 50 51 50 50 51 50 51 51 SP D3 S SD: 0.1909 c. M: 0.2818 c. 464: 52 51 52 51 51 52 51 52 52 SP D3 S SD: 0.1674 c. M: 0.2362 c. 473: 53 52 53 52 52 53 52 53 53 SP D3 S SD: 0.1452 c. M: 0.1962 c. 482: 54 53 54 53 53 54 53 54 54 SP D3 S SD: 0.1244 c. M: 0.1751 c. 491: 55 54 55 54 54 55 54 55 55 SP D3 S SD: 0.1051 c. M: 0.1548 c. 500: 56 55 56 55 55 56 55 56 56 SP D3 S SD: 0.0876 c. M: 0.1352 c. 509: 57 56 57 56 56 57 56 57 57 SP D3 S SD: 0.0727 c. M: 0.1163 c. 518: 58 57 58 57 57 58 57 58 58 SP D3 S SD: 0.0614 c. M: 0.0981 c. 527: 59 58 59 58 58 59 58 59 59 SP D3 S SD: 0.0551 c. M: 0.0805 c. 536: 60 59 60 59 59 60 59 60 60 SP D3 S SD: 0.0549 c. M:-0.0890 c. 1063: 119 117 119 117 117 119 117 119 119 SP D3 S SD: 0.0542 c. M:-0.0742 c. 1599: 179 176 179 176 176 179 176 179 179 SP D3 S SD: 0.0543 c. M:-0.0792 c. 2135: 239 235 239 235 235 239 235 239 239 SP D3 S SD: 0.0543 c. M:-0.0816 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 2.1000 cents 2 x x x x 3 x x x 4 S SD: 18.0081 cents 3 x x x 4 x x 5 x 6 S SD: 20.1083 cents 4 x x 5 x 6 x 7 x 8 S SD: 13.2652 cents 5 x 6 x 7 x 8 x 9:10 S SD: 17.2302 cents 6 x 7 x 8:9 x 10:11:12 S SD: 12.0927 cents 7 x 8:9 x 10:11:12:13:14 S SD: 10.2192 cents 8 x 9:10:11:12:13:14:15:16 S SD: 11.9265 cents 9:10 x 11:12:13:14:15:17:18 SD: 13.7565 cents 10:11:12:13:14:15:16:17:19:20 SD: 12.1911 cents 11:12:13:14:15:16:17:19:20:22 SD: 7.6872 cents 12:13:14:15:16:18:19:21:22:24 SD: 7.4282 cents 14:15:16:18:19:21:22:24:26:28 SD: 7.2940 cents 17:18:20:21:23:25:27:29:32:34 SD: 6.7375 cents 19:21:22:24:26:28:30:33:35:38 SD: 5.5801 cents 22:24:26:28:30:32:35:38:41:44 SD: 4.4739 cents 24:26:28:30:33:35:38:41:44:48 SD: 3.7057 cents 34:37:40:43:46:50:54:58:63:68 SD: 2.6357 cents 36:39:42:45:49:53:57:62:67:72 SD: 2.2674 cents 42:45:49:53:57:62:67:72:78:84 SD: 2.2369 cents 47:51:55:59:64:69:75:81:87:94 SD: 1.9327 cents 49:53:57:62:67:72:78:84:91:98 SD: 1.4212 cents 61:66:71:77:83:90:97:105:113:122 SD: 1.3206 cents 66:71:77:83:90:97:105:113:122:132 SD: 1.2709 cents 73:79:85:92:99:107:116:125:135:146 SD: 1.0729 cents 77:83:90:97:105:113:122:132:143:154 SD: 1.0218 cents 88:95:103:111:120:129:140:151:163:176 SD: 0.9815 cents 100:108:117:126:136:147:159:171:185:200 SD: 0.8812 cents 102:110:119:129:139:150:162:175:189:204 SD: 0.8239 cents 119:129:139:150:162:175:189:204:220:238 SD: 0.8083 cents 122:132:142:154:166:179:194:209:226:244 SD: 0.7044 cents 138:149:161:174:188:203:219:237:256:276 SD: 0.6259 cents 149:161:174:188:203:219:237:255:276:298 SD: 0.5737 cents 150:162:175:189:204:220:238:257:278:300 SD: 0.5168 cents 175:189:204:221:238:257:278:300:324:350 SD: 0.4915 cents 185:200:216:233:252:272:294:317:343:370 SD: 0.4601 cents 199:215:232:251:271:292:316:341:369:398 SD: 0.4202 cents 211:228:246:266:287:310:335:362:391:423 SD: 0.3517 cents 258:279:301:325:351:379:410:442:478:517 SD: 0.3244 cents 283:306:330:357:385:416:449:485:524:567 SD: 0.3232 cents 294:318:343:371:400:432:467:504:545:589 SD: 0.2736 cents 311:336:363:392:423:457:494:533:576:623 SD: 0.2317 cents 318:344:371:401:433:467:505:545:589:637 SD: 0.2230 cents 360:389:420:454:490:529:572:617:667:721 SD: 0.1255 cents