Scala analysis: Cambodia_Sum_pyi
Sum pyi (Sum Pyi), Cambodia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 226.000 cents 226.000000 2: 470.000 cents 470.000000 3: 728.000 cents 728.000000 4: 900.000 cents 900.000000 5: 1232.000 cents 1232.000000 6: 1457.000 cents 1457.000000 7: 1682.000 cents 1682.000000
SHOW/INTERVAL
0: 225.0000 cents 225.0000 1: 226.0000 cents 226.0000 2: 244.0000 cents 244.0000 3: 258.0000 cents 258.0000 4: 172.0000 cents 172.0000 5: 332.0000 cents 332.0000 6: 225.0000 cents 225.0000 7: 225.0000 cents 225.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 172.00000 cents 1: 2 225.00000 cents 1: 1 226.00000 cents 1: 1 244.00000 cents 1: 1 258.00000 cents 1: 1 332.00000 cents 2: 1 430.00000 cents 2: 1 450.00000 cents 2: 1 451.00000 cents 2: 1 470.00000 cents 2: 1 502.00000 cents 2: 1 504.00000 cents 2: 1 557.00000 cents 3: 1 674.00000 cents 3: 1 676.00000 cents 3: 1 695.00000 cents 3: 1 728.00000 cents 3: 1 729.00000 cents 3: 1 762.00000 cents 3: 1 782.00000 cents 4: 1 900.00000 cents 4: 1 920.00000 cents 4: 1 953.00000 cents 4: 1 954.00000 cents 4: 1 987.00000 cents 4: 1 1006.00000 cents 4: 1 1008.00000 cents 5: 1 1125.00000 cents 5: 1 1178.00000 cents 5: 1 1180.00000 cents 5: 1 1212.00000 cents 5: 1 1231.00000 cents 5: 1 1232.00000 cents 5: 1 1252.00000 cents 6: 1 1350.00000 cents 6: 1 1424.00000 cents 6: 1 1438.00000 cents 6: 1 1456.00000 cents 6: 2 1457.00000 cents 6: 1 1510.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 226.0 470.0 728.0 900.0 1232.0 1457.0 1682.0 226.0 : 244.0 502.0 674.0 1006.0 1231.0 1456.0 1682.0 470.0 : 258.0 430.0 762.0 987.0 1212.0 1438.0 1682.0 728.0 : 172.0 504.0 729.0 954.0 1180.0 1424.0 1682.0 900.0 : 332.0 557.0 782.0 1008.0 1252.0 1510.0 1682.0 1232.0: 225.0 450.0 676.0 920.0 1178.0 1350.0 1682.0 1457.0: 225.0 451.0 695.0 953.0 1125.0 1457.0 1682.0 1682.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 172.0000 .. 332.0000 cents 160.00000 cents 172.00000 cents 2: 430.0000 .. 557.0000 cents 127.00000 cents 98.00000 cents 3: 674.0000 .. 782.0000 cents 108.00000 cents 117.00000 cents 4: 900.0000 .. 1008.0000 cents 108.00000 cents 118.00000 cents 5: 1125.0000 .. 1252.0000 cents 127.00000 cents 117.00000 cents 6: 1350.0000 .. 1510.0000 cents 160.00000 cents 98.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 172.00000 cents, class 1 Average step (divided formal octave): 240.2857 cents Largest one step interval : 332.00000 cents Average / Smallest step : 1.397010 Largest / Average step : 1.381688 Largest / Smallest step : 1.930233 Median interval of one step : 226.00000 cents, amount: 1 Most common interval of one step : 225.00000 cents, amount: 2 Least squares average step : 240.18571 cents, oct.: 1681.30000 cents Scale is strictly proper Scale is a mode of a 1682-tone equal temperament with octave 1682.000 cents degrees: 226 470 728 900 1232 1457 1682 Least number of segments generator : 843 of 843.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 867 of 867.000 cents and inv. generated superset size: 341 = 334 more = 4871.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFF Step pattern size order : CDEAFBB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 98.00000 cents Scale diversity : 0.623289 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.530321 Rothenberg efficiency : 0.299320 redundancy: 0.700680 Efficiency x scale size : 2.095238 Number of different interval sizes : 40 = 6.66667 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.66667 = 20/3 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Most common intervals : 225.00000 cents & inv., amount: 2 Most common triad is 0.0 225.000 1457.000 cents, amount: 1 Number of recognisable fifths : 1, average 695.0000 cents Number of recognisable fourths : 2, average 503.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 108.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 27.4475 c. M:-61.1429 c. Lebeng 12: 2 1 2 1 3 1 2 P D3 SD: 44.0023 c. M: 59.0000 c. Dorian flat 5, Blues Heptatonic, Makam Karcigar, Maqam Nahawand Murassah, Kiourdi ascending, Kartzihiar: Greece 14: 2 2 2 1 3 2 2 P T3 SD: 26.7692 c. M: 59.0000 c. 15: 2 2 2 2 3 2 2 SP M ME S SD: 22.4313 c. M: 55.2000 c. 18: 2 3 3 2 3 3 2 SP D3 I SD: 26.3365 c. M: 39.1111 c. 19: 2 3 3 2 4 2 3 SP D3 SD: 27.9147 c. M: 48.9474 c. 21: 3 3 3 2 4 3 3 SP T3 SD: 16.4504 c. M: 30.5714 c. 22: 3 3 4 2 4 3 3 SP D3 I SD: 16.3612 c. M:-36.5455 c. Symmetric Diminished Porcupine 23: 3 3 4 2 5 3 3 SP SD: 15.5367 c. M: 31.2174 c. 24: 3 4 3 3 5 3 3 SP T3 SD: 19.3480 c. M:-29.5000 c. 25: 3 4 4 2 5 4 3 SP SD: 18.3201 c. M: 25.3600 c. 26: 3 4 4 3 5 3 4 SP D3 SD: 19.8662 c. M: 33.7692 c. 28: 4 4 4 3 6 3 4 SP T3 S SD: 14.5008 c. M:-29.5000 c. 30: 4 4 5 3 6 4 4 SP SD: 8.2451 c. M: 21.4667 c. 35: 5 5 5 4 7 4 5 SP T3 S SD: 12.4068 c. M:-17.4857 c. 37: 5 5 6 4 7 5 5 SP SD: 7.0737 c. M: 15.4054 c. 46: 6 7 7 5 9 6 6 SP SD: 7.9296 c. M:-14.1304 c. 50: 7 7 8 5 10 6 7 SP SD: 9.0703 c. M:-12.6800 c. 51: 7 7 8 5 10 7 7 SP SD: 7.1783 c. M: 11.7255 c. 53: 7 8 8 5 11 7 7 SP SD: 5.6749 c. M: 11.3962 c. 60: 8 9 9 6 12 8 8 SP SD: 2.8827 c. M:-6.5667 c. 90: 12 13 14 9 18 12 12 SP SD: 1.8034 c. M: 2.9333 c. 97: 13 14 15 10 19 13 13 SP SD: 1.0324 c. M: 1.8144 c. 157: 21 23 24 16 31 21 21 SP SD: 0.6797 c. M:-1.3885 c. 247: 33 36 38 25 49 33 33 SP SD: 0.7272 c. M: 1.2794 c. 254: 34 37 39 26 50 34 34 SP SD: 0.4474 c. M: 0.8504 c. 598: 80 87 92 61 118 80 80 SP SD: 0.4295 c. M: 0.9833 c. 605: 81 88 93 62 119 81 81 SP SD: 0.4813 c. M: 0.8066 c. 658: 88 96 101 67 130 88 88 SP SD: 0.4719 c. M: 1.0517 c. 665: 89 97 102 68 131 89 89 SP SD: 0.4551 c. M: 0.8902 c. 695: 93 101 107 71 137 93 93 SP SD: 0.4517 c. M: 0.9266 c. 744: 100 108 114 76 147 99 100 SP SD: 0.4276 c. M: 1.0753 c. 755: 101 110 116 77 149 101 101 SP SD: 0.4198 c. M: 0.9907 c. 765: 103 111 117 78 151 103 102 SP SD: 0.5548 c. M: 0.7346 c. 770: 103 112 118 79 152 103 103 SP SD: 0.4601 c. M: 1.0052 c. 781: 105 113 120 80 154 105 104 SP SD: 0.4443 c. M:-1.0205 c. 830: 112 120 127 85 164 111 111 SP SD: 0.4252 c. M:-0.9687 c. 831: 112 120 128 85 164 111 111 SP SD: 0.5532 c. M:-0.7100 c. 834: 112 121 128 85 165 111 112 SP SD: 0.4017 c. M: 0.8801 c. 841: 113 122 129 86 166 113 112 SP SD: 0.3780 c. M:-1.0000 c. 851: 114 124 130 87 168 114 114 SP SD: 0.5402 c. M: 0.6933 c. 852: 114 124 131 87 168 114 114 SP SD: 0.4142 c. M: 0.9437 c. 892: 120 129 137 91 176 120 119 SP SD: 0.4529 c. M: 0.6704 c. 894: 120 130 137 91 177 119 120 SP SD: 0.4407 c. M: 0.7718 c. 901: 121 131 138 92 178 120 121 SP SD: 0.3851 c. M: 0.8846 c. 917: 123 133 141 94 181 122 123 SP SD: 0.4628 c. M:-0.6129 c. 919: 123 134 141 94 181 123 123 SP SD: 0.4492 c. M: 0.8792 c. 920: 124 133 141 94 182 123 123 SP SD: 0.3706 c. M:-0.7043 c. 927: 125 134 142 95 183 124 124 SP SD: 0.3419 c. M:-0.8069 c. 938: 126 136 144 96 185 126 125 SP SD: 0.3392 c. M:-0.8529 c. 965: 130 140 148 98 191 129 129 SP SD: 0.4693 c. M:-0.6114 c. 966: 130 140 148 99 191 129 129 SP SD: 0.3695 c. M:-0.7702 c. 987: 133 143 151 101 195 132 132 SP SD: 0.3181 c. M:-0.6525 c. 1003: 135 145 154 103 198 134 134 SP SD: 0.3937 c. M:-0.5723 c. 1005: 135 146 154 103 198 135 134 SP SD: 0.3466 c. M:-0.7333 c. 1009: 136 146 155 103 199 135 135 SP SD: 0.3349 c. M:-0.7116 c. 1017: 137 147 156 104 201 136 136 SP SD: 0.2976 c. M:-0.5821 c. 1049: 141 152 161 107 207 141 140 SP SD: 0.3506 c. M: 0.5643 c. 1056: 142 153 162 108 208 142 141 SP SD: 0.3410 c. M: 0.7633 c. 1062: 143 154 163 108 210 142 142 SP SD: 0.3581 c. M:-0.5499 c. 1063: 143 154 163 109 210 142 142 SP SD: 0.3146 c. M:-0.6228 c. 1074: 144 156 165 110 212 143 144 SP SD: 0.4012 c. M:-0.5270 c. 1077: 145 156 165 110 213 144 144 SP SD: 0.2704 c. M:-0.4531 c. 1084: 146 157 166 111 214 145 145 SP SD: 0.2370 c. M:-0.5424 c. 1174: 158 170 180 120 232 157 157 SP SD: 0.1936 c. M:-0.3680 c. 1181: 159 171 181 121 233 158 158 SP SD: 0.1957 c. M:-0.4505 c. 1241: 167 180 190 127 245 166 166 SP SD: 0.1877 c. M:-0.3449 c. 1271: 171 184 195 130 251 170 170 SP SD: 0.1545 c. M:-0.2958 c. 1331: 179 193 204 136 263 178 178 SP SD: 0.1395 c. M: 0.2374 c. 1338: 180 194 205 137 264 179 179 SP SD: 0.1363 c. M:-0.2780 c. 1428: 192 207 219 146 282 191 191 SP SD: 0.0796 c. M:-0.1513 c. 1525: 205 221 234 156 301 204 204 SP SD: 0.0700 c. M: 0.1430 c. 1585: 213 230 243 162 313 212 212 SP SD: 0.0632 c. M:-0.1110 c. 1682: 226 244 258 172 332 225 225 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x 3 S SD: 111.1353 cents 2 x x 3 x 4 x 5 S SD: 34.7342 cents 3 x 4 x 5:6:7:8 S SD: 9.8184 cents 4 x 5:6:7:8:9:11 SD: 24.1904 cents 5:6:7:8 x 10:12:13 S SD: 30.4008 cents 6:7:8:9:10:12:14:16 S SD: 9.8549 cents 13:15:17:20:22:26:30:34 SD: 6.9326 cents 15:17:20:23:25:31:35:40 SD: 6.7466 cents 16:18:21:24:27:33:37:42 SD: 6.0806 cents 19:22:25:29:32:39:44:50 SD: 4.6243 cents 22:25:29:34:37:45:51:58 SD: 4.0687 cents 23:26:30:35:39:47:53:61 SD: 3.7846 cents 28:32:37:43:47:57:65:74 SD: 2.9049 cents 29:33:38:44:49:59:67:77 SD: 2.2405 cents 44:50:58:67:74:90:102:116 SD: 1.7721 cents 50:57:66:76:84:102:116:132 SD: 1.6549 cents 51:58:67:78:86:104:118:135 SD: 1.6362 cents 57:65:75:87:96:116:132:151 SD: 1.3237 cents 73:83:96:111:123:149:169:193 SD: 1.2255 cents 78:89:102:119:131:159:181:206 SD: 1.0580 cents 84:96:110:128:141:171:195:222 SD: 1.0335 cents 86:98:113:131:145:175:200:227 SD: 1.0169 cents 100:114:131:152:168:204:232:264 SD: 0.7452 cents 109:124:143:166:183:222:253:288 SD: 0.5989 cents 128:146:168:195:215:261:297:338 SD: 0.5007 cents 151:172:198:230:254:308:350:399 SD: 0.4132 cents 157:179:206:239:264:320:364:415 SD: 0.2907 cents 266:303:349:405:447:542:617:703 SD: 0.2362 cents 321:366:421:489:540:654:745:848 SD: 0.2326 cents 343:391:450:522:577:699:796:906 SD: 0.2215 cents 346:394:454:527:582:705:803:914 SD: 0.2023 cents 352:401:462:536:592:717:817:930 SD: 0.1665 cents 430:490:564:655:723:876:998:1136 SD: 0.1505 cents 452:515:593:688:760:921:1049:1194 SD: 0.1502 cents 459:523:602:699:772:935:1065:1213 SD: 0.1028 cents 503:573:660:766:846:1025:1167:1329 SD: 0.0967 cents