Scala analysis: archytas7
Archytas (64/63) hobbit in POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 218.643 cents 218.642530 2: 393.375 cents 393.374650 3: 490.679 cents 490.678740 4: 709.321 cents 709.321260 5: 806.625 cents 806.625350 6: 981.357 cents 981.357470 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 218.6425 cents 218.6425 1: 218.6425 cents 218.6425 2: 174.7321 cents 174.7321 3: 97.3041 cents 97.3041 4: 218.6425 cents 218.6425 5: 97.3041 cents 97.3041 6: 174.7321 cents 174.7321 7: 218.6425 cents 218.6425
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 97.30409 cents 1: 2 174.73212 cents 1: 3 218.64253 cents 2: 2 272.03621 cents 2: 2 315.94661 cents 2: 2 393.37465 cents 2: 1 437.28506 cents 3: 1 413.25070 cents 3: 4 490.67874 cents 3: 2 612.01718 cents 4: 2 587.98282 cents 4: 4 709.32126 cents 4: 1 786.74930 cents 5: 1 762.71494 cents 5: 2 806.62535 cents 5: 2 884.05339 cents 5: 2 927.96379 cents 6: 3 981.35747 cents 6: 2 1025.26788 cents 6: 2 1102.69591 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 218.6 393.4 490.7 709.3 806.6 981.4 1200.0 218.6 : 174.7 272.0 490.7 588.0 762.7 981.4 1200.0 393.4 : 97.3 315.9 413.3 588.0 806.6 1025.3 1200.0 490.7 : 218.6 315.9 490.7 709.3 928.0 1102.7 1200.0 709.3 : 97.3 272.0 490.7 709.3 884.1 981.4 1200.0 806.6 : 174.7 393.4 612.0 786.7 884.1 1102.7 1200.0 981.4 : 218.6 437.3 612.0 709.3 928.0 1025.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 97.3041 .. 218.6425 cents 121.33844 cents 97.30409 cents 2: 272.0362 .. 437.2851 cents 165.24885 cents 53.39368 cents 3: 413.2507 .. 612.0172 cents 198.76648 cents -24.03436 cents 4: 587.9828 .. 786.7493 cents 198.76648 cents -24.03436 cents 5: 762.7149 .. 927.9638 cents 165.24885 cents -24.03436 cents 6: 981.3575 .. 1102.6959 cents 121.33844 cents 53.39368 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 97.30409 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.64253 cents Average / Smallest step : 1.761782 Largest / Average step : 1.275415 Largest / Smallest step : 2.247002 Median interval of one step : 174.73212 cents, amount: 2 Most common interval of one step : 218.64253 cents, amount: 3 Least squares average step : 168.82846 cents, oct.: 1181.79923 cents Scale is not proper Step pattern alph. order: ABCACBA Step pattern size order : LMSLSML Scale is a Constant Structure, by a margin of 19.87605 cents Scale diversity : 1.463402 Lumma stability : 0.251163 Lumma impropriety factor : 0.060086 Rothenberg efficiency : 0.451701 redundancy: 0.548299 Efficiency x scale size : 3.161905 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 19.87605 cents Most common intervals : 490.67874 cents & inv., amount: 4 Most common triad is 0.0 490.679 709.321 cents, amount: 3 Number of recognisable fifths : 4, average 709.3213 cents Formal octave complements present : 7 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 39.0548 c. M:-50.5175 c. Lebeng 9: 2 1 1 1 1 1 2 N D3 I SD: 34.5155 c. M: 48.0241 c. 10: 2 1 1 2 1 1 2 P D3 I SD: 21.9353 c. M:-33.3747 c. 12: 2 2 1 2 1 2 2 P D3 I SD: 11.6904 c. M: 18.6425 c. Major-Minor, Melodic Major, Mischung 6, Mixolydian flat 6, Mela Carukesi, Raga Charukeshi, Tarangini, Heptatonia secunda 22: 4 3 2 4 2 3 4 P I SD: 6.1833 c. M:-11.5565 c. 27: 5 4 2 5 2 4 5 N I SD: 4.1374 c. M:-6.6254 c. 39: 7 6 3 7 3 6 7 N I SD: 4.0413 c. M:-6.6254 c. 49: 9 7 4 9 4 7 9 N I SD: 1.3376 c. M: 1.7656 c. 88: 16 13 7 16 7 13 16 N I SD: 1.1453 c. M:-2.0799 c. 110: 20 16 9 20 9 16 20 N I SD: 0.4422 c. M:-0.6474 c. 186: 34 27 15 34 15 27 34 N I SD: 0.4357 c. M:-0.7123 c. 198: 36 29 16 36 16 29 36 N I SD: 0.4086 c. M:-0.5647 c. 247: 45 36 20 45 20 36 45 N I SD: 0.0797 c. M:-0.1476 c. 543: 99 79 44 99 44 79 99 N I SD: 0.0849 c. M:-0.1420 c. 604: 110 88 49 110 49 88 110 N I SD: 0.0595 c. M: 0.0995 c. 790: 144 115 64 144 64 115 144 N I SD: 0.0594 c. M:-0.0916 c. 851: 155 124 69 155 69 124 155 N I SD: 0.0514 c. M: 0.0761 c. 900: 164 131 73 164 73 131 164 N I SD: 0.0264 c. M:-0.0413 c. 1147: 209 167 93 209 93 167 209 N I SD: 0.0089 c. M:-0.0148 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: 3.6831 cents 3 x x 4 x 5 x 6 S SD: 26.0272 cents 4 x 5 x 6 x 7:8 S SD: 4.0401 cents 5 x 6:7 x 8:9:10 S SD: 25.1706 cents 6:7 x 8:9:10:11:12 S SD: 19.0771 cents 7:8:9 x x 11:12:14 SD: 13.8638 cents 8:9:10:11:12:13:14:16 S SD: 10.4048 cents 9:10:11:12 x 14:16:18 S SD: 12.2895 cents 10:11 x 13:15:16:18:20 SD: 12.4990 cents 12:14:15:16:18:19:21:24 SD: 7.5104 cents 15:17:19:20:23:24:26:30 SD: 6.6210 cents 16:18:20:21:24:26:28:32 S SD: 6.4262 cents 20:23:25:27:30:32:35:40 SD: 5.8700 cents 22:25:28:29:33:35:39:44 SD: 4.2907 cents 24:27:30:32:36:38:42:48 SD: 3.6560 cents 30:34:38:40:45:48:53:60 SD: 2.9592 cents 37:42:46:49:56:59:65:74 SD: 2.8304 cents 39:44:49:52:59:62:69:78 SD: 2.3271 cents 46:52:58:61:69:73:81:92 SD: 2.0998 cents 51:58:64:68:77:81:90:102 SD: 1.5801 cents 59:67:74:78:89:94:104:118 SD: 1.1405 cents 67:76:84:89:101:107:118:134 SD: 0.6849 cents 113:128:142:150:170:180:199:226 SD: 0.6524 cents 126:143:158:167:190:201:222:252 SD: 0.6209 cents 140:159:176:186:211:223:247:280 SD: 0.5649 cents 156:177:196:207:235:249:275:312 SD: 0.5064 cents 164:186:206:218:247:261:289:328 SD: 0.4931 cents 177:201:222:235:267:282:312:354 SD: 0.4393 cents 180:204:226:239:271:287:317:360 SD: 0.4218 cents 207:235:260:275:312:330:365:414 SD: 0.3404 cents 223:253:280:296:336:355:393:446 SD: 0.2791 cents 275:312:345:365:414:438:485:550 SD: 0.2696 cents 290:329:364:385:437:462:511:580 SD: 0.1404 cents 482:547:605:640:726:768:850:964 SD: 0.1283 cents 549:623:689:729:827:875:968:1098 SD: 0.1022 cents