Scala analysis: 08_pajara8-symmetric
TOP pajara (symmetric form).
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 106.600 cents 106.600000 2: 385.300 cents 385.300000 3: 491.900 cents 491.900000 4: 598.500 cents 598.500000 5: 705.000 cents 705.000000 6: 983.800 cents 983.800000 7: 1090.300 cents 1090.300000 8: 1196.900 cents 1196.900000
SHOW/INTERVAL
0: 106.6000 cents 106.6000 1: 106.6000 cents 106.6000 2: 278.7000 cents 278.7000 3: 106.6000 cents 106.6000 4: 106.6000 cents 106.6000 5: 106.5000 cents 106.5000 6: 278.8000 cents 278.8000 7: 106.5000 cents 106.5000 8: 106.6000 cents 106.6000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 106.50000 cents 1: 4 106.60000 cents 1: 1 278.70000 cents 1: 1 278.80000 cents 2: 2 213.10000 cents 2: 2 213.20000 cents 2: 4 385.30000 cents 3: 2 319.70000 cents 3: 1 491.80000 cents 3: 5 491.90000 cents 4: 4 598.40000 cents 4: 4 598.50000 cents 5: 5 705.00000 cents 5: 1 705.10000 cents 5: 2 877.20000 cents 6: 4 811.60000 cents 6: 2 983.70000 cents 6: 2 983.80000 cents 7: 1 918.10000 cents 7: 1 918.20000 cents 7: 4 1090.30000 cents 7: 2 1090.40000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.14286 = 22/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 106.6 385.3 491.9 598.5 705.0 983.8 1090.3 1196.9 106.6 : 278.7 385.3 491.9 598.4 877.2 983.7 1090.3 1196.9 385.3 : 106.6 213.2 319.7 598.5 705.0 811.6 918.2 1196.9 491.9 : 106.6 213.1 491.9 598.4 705.0 811.6 1090.3 1196.9 598.5 : 106.5 385.3 491.8 598.4 705.0 983.7 1090.3 1196.9 705.0 : 278.8 385.3 491.9 598.5 877.2 983.8 1090.4 1196.9 983.8 : 106.5 213.1 319.7 598.4 705.0 811.6 918.1 1196.9 1090.3: 106.6 213.2 491.9 598.5 705.1 811.6 1090.4 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 106.5000 .. 278.8000 cents 172.30000 cents 106.50000 cents 2: 213.1000 .. 385.3000 cents 172.20000 cents -65.70000 cents 3: 319.7000 .. 491.9000 cents 172.20000 cents -65.60000 cents 4: 598.4000 .. 598.5000 cents 0.10000 cents 106.50000 cents 5: 705.0000 .. 877.2000 cents 172.20000 cents 106.50000 cents 6: 811.6000 .. 983.8000 cents 172.20000 cents -65.60000 cents 7: 918.1000 .. 1090.4000 cents 172.30000 cents -65.70000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 106.50000 cents, class 1 Average step (divided formal octave): 149.6125 cents Largest one step interval : 278.80000 cents Average / Smallest step : 1.404812 Largest / Average step : 1.863481 Largest / Smallest step : 2.617840 Median interval of one step : 106.60000 cents, amount: 4 Most common interval of one step : 106.60000 cents, amount: 4 Least squares average step : 153.83333 cents, oct.: 1230.66667 cents Scale is not proper Step pattern alph. order: ABAACDCA Step pattern size order : BCBBADAB Scale is a Constant Structure, by a margin of 40.90000 cents Scale diversity : 1.231632 Lumma stability : 0.355919 Lumma impropriety factor : 0.219400 Rothenberg efficiency : 0.466071 redundancy: 0.533929 Efficiency x scale size : 3.728571 Number of different interval sizes : 22 = 3.14286 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.14286 = 22/7 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 0.10000 cents Most common intervals : 491.90000 cents & inv., amount: 5 Number of recognisable fifths : 6, average 705.0167 cents Number of recognisable fourths : 6, average 491.8833 cents Formal octave complements present : 5 = 62.5000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 4 Limited inverse transpositions : 3 7 Inversional symmetry on intervals : 1-2 3-4 5-6 7-8 -- Rational properties --
FIT/MODE
8: 0 2 1 1 0 2 1 1 N B D3 SD: 71.8047 c. M: 106.6000 c. 9: 1 2 1 1 0 2 1 1 N D3 SD: 38.7288 c. M:-66.4444 c. 10: 1 2 1 1 1 2 1 1 P B ME SD: 16.0728 c. M: 26.2800 c. 12: 1 3 1 1 1 3 1 1 N B DE SD: 8.3589 c. M:-13.6667 c. Tcherepnin Octatonic mode 1 22: 2 5 2 2 2 5 2 2 N B DE SD: 2.7465 c. M: 4.5182 c. 34: 3 8 3 3 3 8 3 3 N B DE SD: 1.1735 c. M:-1.9324 c. 56: 5 13 5 5 5 13 5 5 N B DE SD: 0.3678 c. M: 0.6321 c. 90: 8 21 8 8 8 21 8 8 N B DE SD: 0.2169 c. M:-0.3678 c. 146: 13 34 13 13 13 34 13 13 N B DE SD: 0.0300 c. M: 0.0500 c. 1258: 112 293 112 112 112 293 112 112 N B DE SD: 0.0299 c. M: 0.0500 c. 1404: 125 327 125 125 125 327 125 125 N B DE SD: 0.0295 c. M: 0.0500 c. 1494: 133 348 133 133 133 348 133 133 N B DE SD: 0.0344 c. M: 0.0500 c. 1550: 138 361 138 138 138 361 138 138 N B DE SD: 0.0293 c. M: 0.0500 c. 1696: 151 395 151 151 151 395 151 151 N B DE SD: 0.0291 c. M: 0.0500 c. 1842: 164 429 164 164 164 429 164 164 N B DE SD: 0.0290 c. M: 0.0500 c. 1988: 177 463 177 177 177 463 177 177 N B DE SD: 0.0289 c. M: 0.0500 c. 2134: 190 497 190 190 190 497 190 190 N B DE SD: 0.0289 c. M: 0.0500 c. 2280: 203 531 203 203 203 531 203 203 N B DE SD: 0.0289 c. M: 0.0500 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.1000 cents 2 x x x x 3 x x 4 S SD: 2.1727 cents 3 x x 4 x x 5 x 6 S SD: 33.2264 cents 4 x 5 x x 6:7 x 8 S SD: 3.9062 cents 5 x 6 x 7:8:9 x 10 S SD: 26.8868 cents 6 x x 8 x 9 x 11:12 SD: 10.4058 cents 7:8:9 x 10:11:12:13:14 S SD: 23.5977 cents 8:9:10 x 11:12:14:15:16 S SD: 15.6124 cents 9:10:11:12:13:14:16:17:18 S SD: 13.9971 cents 10:11 x 13:14:15:18:19:20 SD: 11.6800 cents 12:13:15:16:17:18:21:23:24 SD: 6.4004 cents 16:17:20:21:23:24:28:30:32 SD: 4.9741 cents 24:26:30:32:34:36:42:45:48 SD: 4.5561 cents 27:29:34:36:38:41:48:51:54 SD: 4.2847 cents 28:30:35:37:40:42:49:53:56 SD: 4.0781 cents 30:32:37:40:42:45:53:56:60 SD: 3.8110 cents 31:33:39:41:44:47:55:58:62 SD: 3.1431 cents 33:35:41:44:47:50:58:62:66 SD: 3.0954 cents 34:36:42:45:48:51:60:64:68 SD: 2.8657 cents 36:38:45:48:51:54:64:68:72 SD: 2.8322 cents 43:46:54:57:61:65:76:81:86 SD: 2.5150 cents 46:49:57:61:65:69:81:86:92 SD: 2.1805 cents 48:51:60:64:68:72:85:90:96 SD: 1.3414 cents 64:68:80:85:90:96:113:120:128 SD: 1.2235 cents 76:81:95:101:107:114:134:143:152 SD: 1.2069 cents 80:85:100:106:113:120:141:150:160 SD: 0.9380 cents 97:103:121:129:137:146:171:182:194 SD: 0.8009 cents 124:132:155:165:175:186:219:233:248 SD: 0.7668 cents 128:136:160:170:181:192:226:240:256 SD: 0.6736 cents 140:149:175:186:198:210:247:263:279 SD: 0.6422 cents 157:167:196:209:222:236:277:295:313 SD: 0.6153 cents 173:184:216:230:244:260:305:325:345 SD: 0.5915 cents 177:188:221:235:250:266:312:332:353 SD: 0.5434 cents 189:201:236:251:267:284:334:355:377 SD: 0.3625 cents 237:252:296:315:335:356:418:445:473 SD: 0.2542 cents 332:353:415:441:469:499:586:623:663 SD: 0.1927 cents 426:453:532:566:602:640:752:800:850 SD: 0.1755 cents 489:520:611:650:691:735:863:918:976 SD: 0.1484 cents 521:554:651:692:736:783:920:978:1040 SD: 0.1329 cents 569:605:711:756:804:855:1004:1068:1136 SD: 0.1147 cents