Scala analysis: driftwood_30
Driftwood - 10 out of 30
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 240.000 cents 240.000000 3: 440.000 cents 440.000000 4: 480.000 cents 480.000000 5: 680.000 cents 680.000000 6: 720.000 cents 720.000000 7: 920.000 cents 920.000000 8: 960.000 cents 960.000000 9: 1160.000 cents 1160.000000 10: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 40.0000 cents 40.0000 1: 200.0000 cents 200.0000 2: 40.0000 cents 40.0000 3: 200.0000 cents 200.0000 4: 40.0000 cents 40.0000 5: 200.0000 cents 200.0000 6: 40.0000 cents 40.0000 7: 200.0000 cents 200.0000 8: 40.0000 cents 40.0000 9: 200.0000 cents 200.0000 10: 40.0000 cents 40.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 40.00000 cents 1: 5 200.00000 cents 2: 10 240.00000 cents 3: 5 280.00000 cents 3: 5 440.00000 cents 4: 10 480.00000 cents 5: 5 520.00000 cents 5: 5 680.00000 cents 6: 10 720.00000 cents 7: 5 760.00000 cents 7: 5 920.00000 cents 8: 10 960.00000 cents 9: 5 1000.00000 cents 9: 5 1160.00000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.55556 = 14/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 200.0 240.0 440.0 480.0 680.0 720.0 920.0 960.0 1160.0 1200.0 200.0 : 40.0 240.0 280.0 480.0 520.0 720.0 760.0 960.0 1000.0 1200.0 240.0 : 200.0 240.0 440.0 480.0 680.0 720.0 920.0 960.0 1160.0 1200.0 440.0 : 40.0 240.0 280.0 480.0 520.0 720.0 760.0 960.0 1000.0 1200.0 480.0 : 200.0 240.0 440.0 480.0 680.0 720.0 920.0 960.0 1160.0 1200.0 680.0 : 40.0 240.0 280.0 480.0 520.0 720.0 760.0 960.0 1000.0 1200.0 720.0 : 200.0 240.0 440.0 480.0 680.0 720.0 920.0 960.0 1160.0 1200.0 920.0 : 40.0 240.0 280.0 480.0 520.0 720.0 760.0 960.0 1000.0 1200.0 960.0 : 200.0 240.0 440.0 480.0 680.0 720.0 920.0 960.0 1160.0 1200.0 1160.0: 40.0 240.0 280.0 480.0 520.0 720.0 760.0 960.0 1000.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 40.0000 .. 200.0000 cents 160.00000 cents 40.00000 cents 2: 240.0000 .. 240.0000 cents 1/1, 0.0000 cents 40.00000 cents 3: 280.0000 .. 440.0000 cents 160.00000 cents 40.00000 cents 4: 480.0000 .. 480.0000 cents 1/1, 0.0000 cents 40.00000 cents 5: 520.0000 .. 680.0000 cents 160.00000 cents 40.00000 cents 6: 720.0000 .. 720.0000 cents 1/1, 0.0000 cents 40.00000 cents 7: 760.0000 .. 920.0000 cents 160.00000 cents 40.00000 cents 8: 960.0000 .. 960.0000 cents 1/1, 0.0000 cents 40.00000 cents 9: 1000.0000 .. 1160.0000 cents 160.00000 cents 40.00000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 40.00000 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 200.00000 cents Average / Smallest step : 3.000000 Largest / Average step : 1.666667 Largest / Smallest step : 5.000000 Median interval of one step : 120.00000 cents, amount: 0 Least squares average step : 125.19481 cents, oct.: 1251.94805 cents Scale is strictly proper Scale has 5 repeating blocks of 2 notes Blocks have Myhill's property chromas: 160.00000 cents and 120.00000 cents, ratio: 1.333333 generator: 40.00000 cents ET pair of linear temperament : 30&30 Scale is distributional even Scale is a mode of a 30-tone equal temperament with octave 2/1 degrees: 5 6 11 12 17 18 23 24 29 30 Least number of segments generator : 17 of 680.000 cents and inv. number of contiguous generator circle segments: 2 Shortest superset generator : 17 of 680.000 cents and inv. generated superset size: 26 = 16 more = 260.000% Number of contiguous 1-step segments: 5 Step pattern alph. order: ABABABABAB Step pattern size order : LSLSLSLSLS Interval vector is [ 5 0 0 0 5 10 5 0 0 0 5 10 5 0 0 ] Scale is a Constant Structure, by a margin of 40.00000 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.333333 Rothenberg efficiency (ambiguous key): 1.000000 redundancy: 0.000000 Efficiency x scale size : 10.000000 Number of different interval sizes : 14 = 1.55556 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.55556 = 14/9 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 40.00000 cents Scale is a chain of 5 triads 0.0 920.000 960.000 cents Most common triad is 0.0 240.000 480.000 cents, amount: 10 Number of recognisable fifths : 10, average 720.0000 cents Number of appreciable fifths : 0 Scale contains two identical disjunct pentachords Formal octave complements present : 5 = 50.0000% Limited transpositions : 2 4 6 8 Limited inverse transpositions : 1 3 5 7 9 Inversional symmetry on intervals : 0-1 1-2 2-3 3-4 4-5 5-6 6-7 7-8 8-9 9-10 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
10: 2 0 2 0 2 0 2 0 2 0 P B DE SD: 28.2843 c. M:-40.0000 c. 12: 2 0 2 1 2 0 2 1 2 0 N SD: 28.2843 c. M: 40.0000 c. 13: 2 1 2 0 2 1 2 0 3 0 N SD: 26.1991 c. M:-40.0000 c. 14: 2 1 2 1 2 0 3 0 3 0 N SD: 24.5781 c. M:-40.0000 c. 17: 3 0 3 1 2 1 3 0 3 1 N SD: 25.1776 c. M: 44.7059 c. 18: 3 1 3 0 3 1 3 0 3 1 N SD: 18.8562 c. M:-26.6667 c. 19: 3 1 3 1 3 0 4 0 3 1 N SD: 17.9257 c. M:-27.3684 c. 20: 3 1 3 1 3 1 3 1 3 1 SP B DE SD: 14.1421 c. M: 20.0000 c. 25: 4 1 4 1 4 1 4 1 4 1 SP B DE SD: 5.6569 c. M: 8.0000 c. 30: 5 1 5 1 5 1 5 1 5 1 SP B DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 9.0225 cents 3 x x x 4 x x 5 x x 6 S SD: 13.3163 cents 4 x x 5 x x 6 x 7 x 8 S SD: 14.3303 cents 5 x 6 x x 7:8 x 9 x 10 S SD: 33.0575 cents 6 x 7 x 8 x 9:10 x x 12 S SD: 10.2832 cents 7 x 8:9 x 10:11:12 x x 14 S SD: 14.9884 cents 8:9 x 10:11 x 12 x 14 x 16 S SD: 15.2637 cents 9:10 x x 12:13:14:15:16 x 18 S SD: 12.0437 cents 10:11 x 13 x x 15:17 x x 20 SD: 8.3767 cents 11:12:13:14:15:16:17 x 19 x 22 SD: 13.0566 cents 12:13:14:15:16 x 18:20:21:23:24 SD: 11.3917 cents 13 x 15 x 17:19:20:22:23:25:26 SD: 6.9934 cents 14 x 16:18 x x 21:24 x 27:28 S SD: 5.5958 cents 15:17 x 19:20:22:23 x 26:29:30 SD: 6.4309 cents 16:18 x x 21 x 24:27:28:31:32 SD: 4.3508 cents 17:19:20:22 x 25:26:29:30:33:34 SD: 5.9858 cents 18:20:21:23:24 x 27 x 31:35:36 SD: 6.0732 cents 19:21:22 x 25:28:29:32:33:37:38 SD: 4.3216 cents 20:22:23:26 x x 30:34:35:39:40 SD: 5.3774 cents 21 x 24:27:28:31:32:36:37:41:42 SD: 3.7579 cents 22 x 25:28:29 x 33:37:38:43:44 SD: 5.2640 cents 23:26 x 30 x 34:35:39:40:45:46 SD: 3.1851 cents 24:27:28:31:32 x 36:41:42:47:48 SD: 4.3590 cents 25:28:29:32:33:37:38:43:44:49:50 SD: 3.4908 cents 26:29:30 x 34 x 39:44:45:51:52 SD: 3.9125 cents 27:30:31:35:36:40:41:46:47:53:54 SD: 2.8225 cents 29 x 33:37:38:43:44:49:50:57:58 SD: 3.9721 cents 30:34 x 39:40:44:45:51:52:59:60 SD: 4.4440 cents 31:35:36:40:41:46:47:53:54:61:62 SD: 2.6452 cents 35:39:40:45:46:52:53:60:61:68:70 SD: 2.4905 cents 40:45:46:52:53:59:61:68:70:78:80 SD: 2.3023 cents 41:46:47:53:54:61:62:70:71:80:82 SD: 1.5901 cents 60:67:69:77:79:89:91:102:104:117:120 SD: 1.5765 cents 62:70:71:80:82:92:94:105:108:121:124 SD: 1.5122 cents 66:74:76:85:87:98:100:112:115:129:132 SD: 0.8359 cents 100:112:115:129:132:148:152:170:174:195:200 SD: 0.7916 cents 107:120:123:138:141:158:162:182:186:209:214 SD: 0.7004 cents 128:144:147:165:169:190:194:218:223:250:256 SD: 0.6082 cents 147:165:169:190:194:218:223:250:256:287:294 SD: 0.5533 cents 148:166:170:191:195:219:224:252:258:289:296 SD: 0.5298 cents 163:183:187:210:215:241:247:277:284:319:326 SD: 0.5273 cents 169:190:194:218:223:250:256:288:294:330:338 SD: 0.5254 cents 170:191:195:219:224:252:258:289:296:332:340 SD: 0.5241 cents 173:194:199:223:228:256:262:294:301:338:346 SD: 0.4804 cents 181:203:208:233:239:268:274:308:315:354:362 SD: 0.4382 cents 194:218:223:250:256:287:294:330:338:379:388 SD: 0.3462 cents 221:248:254:285:292:327:335:376:385:432:442 SD: 0.3243 cents 235:264:270:303:310:348:356:400:409:459:470 SD: 0.2352 cents 262:294:301:338:346:388:397:446:456:512:524 SD: 0.2230 cents 301:338:346:388:397:446:456:512:524:588:602 SD: 0.2182 cents 328:368:377:423:433:486:497:558:571:641:656 SD: 0.1832 cents 335:376:385:432:442:496:508:570:583:655:670 SD: 0.1755 cents 376:422:432:485:496:557:570:640:655:735:752 SD: 0.1651 cents 432:485:496:557:570:640:655:735:752:844:864 SD: 0.1325 cents 532:597:611:686:702:788:806:905:926:1040:1064 SD: 0.1210 cents