Scala analysis: Brazil_Pifano
Pifano (Pifano), Brazil
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 180.000 cents 180.000000 2: 350.000 cents 350.000000 3: 590.000 cents 590.000000 4: 810.000 cents 810.000000 5: 1000.000 cents 1000.000000 6: 1120.000 cents 1120.000000 7: 1300.000 cents 1300.000000
SHOW/INTERVAL
0: 180.0000 cents 180.0000 1: 180.0000 cents 180.0000 2: 170.0000 cents 170.0000 3: 240.0000 cents 240.0000 4: 220.0000 cents 220.0000 5: 190.0000 cents 190.0000 6: 120.0000 cents 120.0000 7: 180.0000 cents 180.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 120.00000 cents 1: 1 170.00000 cents 1: 2 180.00000 cents 1: 1 190.00000 cents 1: 1 220.00000 cents 1: 1 240.00000 cents 2: 1 300.00000 cents 2: 1 310.00000 cents 2: 1 350.00000 cents 2: 1 360.00000 cents 2: 2 410.00000 cents 2: 1 460.00000 cents 3: 1 480.00000 cents 3: 1 490.00000 cents 3: 2 530.00000 cents 3: 1 590.00000 cents 3: 1 630.00000 cents 3: 1 650.00000 cents 4: 1 650.00000 cents 4: 1 670.00000 cents 4: 1 710.00000 cents 4: 2 770.00000 cents 4: 1 810.00000 cents 4: 1 820.00000 cents 5: 1 840.00000 cents 5: 2 890.00000 cents 5: 1 940.00000 cents 5: 1 950.00000 cents 5: 1 990.00000 cents 5: 1 1000.00000 cents 6: 1 1060.00000 cents 6: 1 1080.00000 cents 6: 1 1110.00000 cents 6: 2 1120.00000 cents 6: 1 1130.00000 cents 6: 1 1180.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 180.0 350.0 590.0 810.0 1000.0 1120.0 1300.0 180.0 : 170.0 410.0 630.0 820.0 940.0 1120.0 1300.0 350.0 : 240.0 460.0 650.0 770.0 950.0 1130.0 1300.0 590.0 : 220.0 410.0 530.0 710.0 890.0 1060.0 1300.0 810.0 : 190.0 310.0 490.0 670.0 840.0 1080.0 1300.0 1000.0: 120.0 300.0 480.0 650.0 890.0 1110.0 1300.0 1120.0: 180.0 360.0 530.0 770.0 990.0 1180.0 1300.0 1300.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 120.0000 .. 240.0000 cents 120.00000 cents 120.00000 cents 2: 300.0000 .. 460.0000 cents 160.00000 cents 60.00000 cents 3: 480.0000 .. 650.0000 cents 170.00000 cents 20.00000 cents 4: 650.0000 .. 820.0000 cents 170.00000 cents 1/1, 0.0000 cents 5: 840.0000 .. 1000.0000 cents 160.00000 cents 20.00000 cents 6: 1060.0000 .. 1180.0000 cents 120.00000 cents 60.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 120.00000 cents, class 1 Average step (divided formal octave): 185.7143 cents Largest one step interval : 240.00000 cents Average / Smallest step : 1.547619 Largest / Average step : 1.292308 Largest / Smallest step : 2.000000 Median interval of one step : 180.00000 cents, amount: 2 Most common interval of one step : 180.00000 cents, amount: 2 Least squares average step : 190.78571 cents, oct.: 1335.50000 cents Scale is proper Scale is a mode of a 130-tone equal temperament with octave 1300.000 cents degrees: 18 35 59 81 100 112 130 Least number of segments generator : 67 of 670.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 79 of 790.000 cents and inv. generated superset size: 66 = 59 more = 942.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFA Step pattern size order : CBFEDAC Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 2 0 0 0 0 1 0 1 1 0 0 0 2 0 0 0 0 0 1 0 0 0 1 0 1 ] Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.400545 Rothenberg stability : 0.952381 = 20/21 Lumma stability : 0.307692 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.333333 Number of different interval sizes : 35 = 5.83333 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 10.00000 cents Number of recognisable fifths : 1, average 710.0000 cents Number of recognisable fourths : 1, average 490.0000 cents Best major thirds form a closed circle Formal octave complements present : 3 = 42.8571% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 40.0255 c. M: 71.4286 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 27.9508 c. M:-60.0000 c. 13: 2 2 2 2 2 1 2 SP M ME S SD: 22.3607 c. M:-50.0000 c. Karakalian 14: 2 2 2 3 2 1 2 P T3 SD: 19.7285 c. M: 32.8571 c. 16: 2 2 3 3 2 2 2 P D3 S SD: 18.2064 c. M: 25.0000 c. 20: 3 2 4 3 3 2 3 P T3 SD: 19.3649 c. M: 30.0000 c. 21: 3 3 4 3 3 2 3 SP T3 SD: 14.5720 c. M:-29.0476 c. 22: 3 3 4 4 3 2 3 P SD: 7.1251 c. M:-17.2727 c. 27: 4 3 5 5 4 2 4 N SD: 10.8929 c. M: 12.9630 c. 29: 4 4 5 5 4 3 4 SP SD: 6.8409 c. M: 13.7931 c. 38: 5 5 7 7 5 4 5 P SD: 8.2621 c. M:-11.0526 c. 42: 6 5 8 7 6 4 6 P SD: 6.2994 c. M: 9.5238 c. 44: 6 6 8 7 7 4 6 P SD: 5.4464 c. M: 12.2727 c. 51: 7 7 9 9 7 5 7 SP SD: 4.3562 c. M:-6.8627 c. 64: 9 8 12 11 9 6 9 P SD: 3.0913 c. M: 4.6875 c. 66: 9 9 12 11 10 6 9 P SD: 2.9977 c. M:-4.5455 c. 79: 11 10 15 13 12 7 11 N SD: 2.8122 c. M: 4.4304 c. 86: 12 11 16 15 12 8 12 P SD: 2.7865 c. M:-6.2791 c. 88: 12 12 16 15 13 8 12 P SD: 3.0065 c. M:-4.5455 c. 93: 13 12 17 16 14 8 13 N SD: 2.8492 c. M:-6.4516 c. 95: 13 13 17 16 14 9 13 SP SD: 2.7492 c. M:-5.7895 c. 100: 14 13 18 17 15 9 14 P SD: 2.6992 c. M: 5.0000 c. 101: 14 13 19 17 15 9 14 N SD: 1.9642 c. M:-3.9604 c. 103: 14 14 19 17 15 10 14 SP SD: 2.8554 c. M:-3.3981 c. 108: 15 14 20 18 16 10 15 P SD: 1.4514 c. M: 3.5185 c. 130: 18 17 24 22 19 12 18 P SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x S SD: 80.0000 cents 2 x x x 3 x 4 x S SD: 67.2193 cents 3 x x 4:5 x 6 x S SD: 47.5919 cents 4 x 5 x 6:7:8 x S SD: 35.6758 cents 5 x 6:7:8:9:10:11 S SD: 18.3979 cents 6 x 7:8:10:11 x 13 SD: 31.5087 cents 7:8:9:10:11:12:13:15 SD: 19.4584 cents 8:9:10:11:13:14:15:17 SD: 11.3586 cents 9:10:11:13:14:16:17:19 SD: 9.7245 cents 10:11:12:14:16:18:19:21 SD: 6.5518 cents 17:19:21:24:27:30:32:36 SD: 5.4250 cents 18:20:22:25:29:32:34:38 SD: 4.7945 cents 27:30:33:38:43:48:52:57 SD: 2.4962 cents 35:39:43:49:56:62:67:74 SD: 2.4666 cents 37:41:45:52:59:66:71:78 SD: 2.4170 cents 44:49:54:62:70:78:84:93 SD: 2.0695 cents 45:50:55:63:72:80:86:95 SD: 1.6905 cents 54:60:66:76:86:96:103:114 SD: 1.3893 cents 81:90:99:114:129:144:155:172 SD: 1.2415 cents 84:93:103:118:134:150:160:178 SD: 1.1309 cents 89:99:109:125:142:159:170:189 SD: 1.1120 cents 91:101:111:128:145:162:174:193 SD: 1.0969 cents 99:110:121:139:158:176:189:210 SD: 0.8839 cents 101:112:124:142:161:180:193:214 SD: 0.8673 cents 111:123:136:156:177:198:212:235 SD: 0.6273 cents 156:173:191:219:249:278:298:331 SD: 0.5458 cents 165:183:202:232:263:294:315:350 SD: 0.5095 cents 174:193:213:245:278:310:332:369 SD: 0.4953 cents 192:213:235:270:307:342:367:407 SD: 0.4535 cents 201:223:246:283:321:358:384:426 SD: 0.3730 cents 210:233:257:295:335:374:401:445 SD: 0.3378 cents 219:243:268:308:350:390:418:464 SD: 0.3205 cents 246:273:301:346:393:438:470:521 SD: 0.3164 cents 285:316:349:401:455:508:544:604 SD: 0.3073 cents 303:336:371:426:484:540:579:642 SD: 0.2627 cents 312:346:382:439:498:556:596:661 SD: 0.2536 cents 320:355:392:450:511:570:611:678 SD: 0.2216 cents 330:366:404:464:527:588:630:699 SD: 0.1721 cents 411:456:503:578:656:732:785:871 SD: 0.1554 cents 540:599:661:759:862:962:1031:1144 SD: 0.1494 cents