Scala analysis: Peru_Panpipes_26
26 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 305.000 cents 305.000000 2: 513.000 cents 513.000000 3: 691.000 cents 691.000000 4: 976.000 cents 976.000000 5: 1149.000 cents 1149.000000 6: 1303.000 cents 1303.000000
SHOW/INTERVAL
0: 154.0000 cents 154.0000 1: 305.0000 cents 305.0000 2: 208.0000 cents 208.0000 3: 178.0000 cents 178.0000 4: 285.0000 cents 285.0000 5: 173.0000 cents 173.0000 6: 154.0000 cents 154.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 154.00000 cents 1: 1 173.00000 cents 1: 1 178.00000 cents 1: 1 208.00000 cents 1: 1 285.00000 cents 1: 1 305.00000 cents 2: 1 327.00000 cents 2: 1 386.00000 cents 2: 1 458.00000 cents 2: 1 459.00000 cents 2: 1 463.00000 cents 2: 1 513.00000 cents 3: 1 612.00000 cents 3: 1 632.00000 cents 3: 1 636.00000 cents 3: 1 667.00000 cents 3: 1 671.00000 cents 3: 1 691.00000 cents 4: 1 790.00000 cents 4: 1 840.00000 cents 4: 1 844.00000 cents 4: 1 845.00000 cents 4: 1 917.00000 cents 4: 1 976.00000 cents 5: 1 998.00000 cents 5: 1 1018.00000 cents 5: 1 1095.00000 cents 5: 1 1125.00000 cents 5: 1 1130.00000 cents 5: 1 1149.00000 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 0.0 : 305.0 513.0 691.0 976.0 1149.0 1303.0 305.0 : 208.0 386.0 671.0 844.0 998.0 1303.0 513.0 : 178.0 463.0 636.0 790.0 1095.0 1303.0 691.0 : 285.0 458.0 612.0 917.0 1125.0 1303.0 976.0 : 173.0 327.0 632.0 840.0 1018.0 1303.0 1149.0: 154.0 459.0 667.0 845.0 1130.0 1303.0 1303.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 154.0000 .. 305.0000 cents 151.00000 cents 154.00000 cents 2: 327.0000 .. 513.0000 cents 186.00000 cents 22.00000 cents 3: 612.0000 .. 691.0000 cents 79.00000 cents 99.00000 cents 4: 790.0000 .. 976.0000 cents 186.00000 cents 99.00000 cents 5: 998.0000 .. 1149.0000 cents 151.00000 cents 22.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 154.00000 cents, class 1 Average step (divided formal octave): 217.1667 cents Largest one step interval : 305.00000 cents Average / Smallest step : 1.410173 Largest / Average step : 1.404451 Largest / Smallest step : 1.980519 Median interval of one step : 193.00000 cents, amount: 0 Least squares average step : 229.35165 cents, oct.: 1376.10989 cents Scale is strictly proper Scale is a mode of a 1303-tone equal temperament with octave 1303.000 cents degrees: 305 513 691 976 1149 1303 Least number of segments generator : 652 of 652.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1076 of 1076.000 cents and inv. generated superset size: 295 = 289 more = 4916.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FDCEBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 22.00000 cents Scale diversity : 1.338298 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.422103 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / 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 : 1.00000 cents Number of recognisable fifths : 1, average 691.0000 cents Number of recognisable fourths : 1, average 513.0000 cents Number of appreciable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 71.8492 c. M: 107.3333 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 45.7256 c. M:-67.2857 c. 8: 2 1 1 2 1 1 P B ME S SD: 21.0764 c. M: 39.5000 c. 17: 4 3 2 4 2 2 P SD: 12.7454 c. M:-23.5294 c. 23: 5 4 3 5 3 3 SP SD: 13.0933 c. M: 21.7391 c. 25: 6 4 3 6 3 3 P SD: 9.2822 c. M:-14.2800 c. 35: 8 6 5 7 5 4 SP SD: 8.9120 c. M:-16.3429 c. 36: 8 6 5 8 5 4 SP SD: 7.9108 c. M: 15.4444 c. 40: 9 7 5 9 5 5 SP SD: 7.4761 c. M: 11.8250 c. 43: 10 7 6 9 6 5 SP SD: 3.8759 c. M: 6.3256 c. 51: 12 8 7 11 7 6 SP SD: 2.4109 c. M: 5.1373 c. 68: 16 11 9 15 9 8 SP SD: 2.0430 c. M:-4.3676 c. 91: 21 15 12 20 12 11 SP SD: 3.0578 c. M: 4.3077 c. 94: 22 15 13 20 13 11 SP SD: 2.5479 c. M: 5.6809 c. 104: 24 17 14 23 14 12 SP SD: 2.5032 c. M: 4.3077 c. 107: 25 17 15 23 14 13 SP SD: 2.3881 c. M: 4.3084 c. 111: 26 18 15 24 15 13 SP SD: 1.8086 c. M:-3.5045 c. 119: 28 19 16 26 16 14 SP SD: 1.2433 c. M:-1.6303 c. 168: 39 27 23 37 22 20 SP SD: 1.3478 c. M: 2.5179 c. 175: 41 28 24 38 23 21 SP SD: 1.2038 c. M: 2.3600 c. 183: 43 29 25 40 24 22 SP SD: 1.2163 c. M: 2.6448 c. 188: 44 30 26 41 25 22 SP SD: 1.1719 c. M:-2.0851 c. 196: 46 31 27 43 26 23 SP SD: 0.8937 c. M:-1.2500 c. 219: 51 35 30 48 29 26 SP SD: 0.9488 c. M: 1.5616 c. 236: 55 38 32 52 31 28 SP SD: 0.8796 c. M: 1.3347 c. 239: 56 38 33 52 32 28 SP SD: 0.8291 c. M:-1.3891 c. 247: 58 39 34 54 33 29 SP SD: 0.7806 c. M: 1.2955 c. 279: 65 45 38 61 37 33 SP SD: 0.6639 c. M: 1.4337 c. 287: 67 46 39 63 38 34 SP SD: 0.5223 c. M: 0.9094 c. 330: 77 53 45 72 44 39 SP SD: 0.5084 c. M: 0.9667 c. 338: 79 54 46 74 45 40 SP SD: 0.5300 c. M: 0.9497 c. 371: 87 59 51 81 49 44 SP SD: 0.5124 c. M:-0.8895 c. 398: 93 64 54 87 53 47 SP SD: 0.4980 c. M:-0.9975 c. 406: 95 65 55 89 54 48 SP SD: 0.4767 c. M: 0.9877 c. 407: 95 65 56 89 54 48 SP SD: 0.5631 c. M: 0.8600 c. 422: 99 67 58 92 56 50 SP SD: 0.4662 c. M:-0.6801 c. 475: 111 76 65 104 63 56 SP SD: 0.3655 c. M:-0.5642 c. 483: 113 77 66 106 64 57 SP SD: 0.3519 c. M:-0.5756 c. 526: 123 84 72 115 70 62 SP SD: 0.2357 c. M:-0.4144 c. 594: 139 95 81 130 79 70 SP SD: 0.2324 c. M:-0.4478 c. 645: 151 103 88 141 86 76 SP SD: 0.2299 c. M:-0.4682 c. 658: 154 105 90 144 87 78 SP SD: 0.2253 c. M: 0.4590 c. 709: 166 113 97 155 94 84 SP SD: 0.1947 c. M: 0.3752 c. 726: 170 116 99 159 96 86 SP SD: 0.2418 c. M:-0.3526 c. 769: 180 123 105 168 102 91 SP SD: 0.2248 c. M:-0.4057 c. 777: 182 124 106 170 103 92 SP SD: 0.1595 c. M: 0.2806 c. 965: 226 154 132 211 128 114 SP SD: 0.1856 c. M:-0.3326 c. 973: 228 155 133 213 129 115 SP SD: 0.1724 c. M:-0.3279 c. 1016: 238 162 139 222 135 120 SP SD: 0.1476 c. M:-0.2569 c. 1107: 259 177 151 242 147 131 SP SD: 0.1582 c. M: 0.2213 c. 1184: 277 189 162 259 157 140 SP SD: 0.1250 c. M: 0.1639 c. 1235: 289 197 169 270 164 146 SP SD: 0.1125 c. M: 0.2405 c. 1252: 293 200 171 274 166 148 SP SD: 0.0982 c. M:-0.2093 c. 1303: 305 208 178 285 173 154 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x S SD: 51.0000 cents 2 x x 3 x 4 x S SD: 26.0817 cents 3 x 4 x 5:6 x S SD: 35.3125 cents 4:5 x 6:7:8 x S SD: 24.2183 cents 5:6:7 x 9:10:11 SD: 22.9093 cents 6:7:8:9:11:12:13 SD: 17.5167 cents 8:10:11:12:14:16:17 S SD: 17.3657 cents 9:11:12:13:16:17:19 SD: 14.6923 cents 10:12:13:15:18:19:21 SD: 14.1339 cents 11:13:15:16:19:21:23 SD: 11.8472 cents 12:14:16:18:21:23:25 SD: 9.7303 cents 14:17:19:21:25:27:30 SD: 8.3691 cents 15:18:20:22:26:29:32 SD: 7.1047 cents 16:19:22:24:28:31:34 SD: 6.9028 cents 17:20:23:25:30:33:36 SD: 5.9627 cents 20:24:27:30:35:39:42 SD: 4.4799 cents 26:31:35:39:46:50:55 SD: 4.0181 cents 31:37:42:46:54:60:66 SD: 3.7831 cents 32:38:43:48:56:62:68 SD: 2.6314 cents 37:44:50:55:65:72:79 SD: 2.5438 cents 41:49:55:61:72:80:87 SD: 1.7662 cents 57:68:77:85:100:111:121 SD: 1.5919 cents 67:80:90:100:118:130:142 SD: 1.0227 cents 98:117:132:146:172:190:208 SD: 0.8054 cents 104:124:140:155:183:202:221 SD: 0.5809 cents 139:166:187:207:244:270:295 SD: 0.5706 cents 145:173:195:216:255:282:308 SD: 0.5641 cents 157:187:211:234:276:305:333 SD: 0.5065 cents 171:204:230:255:300:332:363 SD: 0.5040 cents 177:211:238:264:311:344:376 SD: 0.4071 cents 218:260:293:325:383:423:463 SD: 0.3540 cents 238:284:320:355:418:462:505 SD: 0.3461 cents 243:290:327:362:427:472:516 SD: 0.3256 cents 255:304:343:380:448:495:541 SD: 0.2393 cents 296:353:398:441:520:575:628 SD: 0.2347 cents 342:408:460:510:601:664:726 SD: 0.1730 cents 400:477:538:596:703:777:849 SD: 0.1452 cents 432:515:581:644:759:839:917 SD: 0.1446 cents 499:595:671:744:877:969:1059 SD: 0.1324 cents 571:681:768:851:1003:1109:1212 SD: 0.1279 cents 597:712:803:890:1049:1159:1267 SD: 0.1146 cents