Scala analysis: Tanzania_Sanza
Sanza (Sanza), Tanzania
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 401.000 cents 401.000000 2: 699.000 cents 699.000000 3: 902.000 cents 902.000000 4: 1095.000 cents 1095.000000 5: 1200.000 cents 1200.000000 6: 1403.000 cents 1403.000000 7: 1601.000 cents 1601.000000 8: 1701.000 cents 1701.000000 9: 1895.000 cents 1895.000000
SHOW/INTERVAL
0: 194.0000 cents 194.0000 1: 401.0000 cents 401.0000 2: 298.0000 cents 298.0000 3: 203.0000 cents 203.0000 4: 193.0000 cents 193.0000 5: 105.0000 cents 105.0000 6: 203.0000 cents 203.0000 7: 198.0000 cents 198.0000 8: 100.0000 cents 100.0000 9: 194.0000 cents 194.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 100.00000 cents 1: 1 105.00000 cents 1: 1 193.00000 cents 1: 1 194.00000 cents 1: 1 198.00000 cents 1: 2 203.00000 cents 1: 1 298.00000 cents 1: 1 401.00000 cents 2: 1 294.00000 cents 2: 2 298.00000 cents 2: 1 308.00000 cents 2: 1 396.00000 cents 2: 1 401.00000 cents 2: 1 501.00000 cents 2: 1 595.00000 cents 2: 1 699.00000 cents 3: 1 492.00000 cents 3: 3 501.00000 cents 3: 1 506.00000 cents 3: 1 694.00000 cents 3: 1 695.00000 cents 3: 1 893.00000 cents 3: 1 902.00000 cents 4: 1 606.00000 cents 4: 1 695.00000 cents 4: 1 699.00000 cents 4: 1 704.00000 cents 4: 1 799.00000 cents 4: 1 893.00000 cents 4: 1 993.00000 cents 4: 1 1095.00000 cents 4: 1 1096.00000 cents 5: 1 799.00000 cents 5: 1 800.00000 cents 5: 1 902.00000 cents 5: 1 1002.00000 cents 5: 1 1096.00000 cents 5: 1 1191.00000 cents 5: 1 1196.00000 cents 5: 1 1200.00000 cents 5: 1 1289.00000 cents 6: 1 993.00000 cents 6: 1 1002.00000 cents 6: 1 1200.00000 cents 6: 1 1201.00000 cents 6: 1 1389.00000 cents 6: 3 1394.00000 cents 6: 1 1403.00000 cents 7: 1 1196.00000 cents 7: 1 1300.00000 cents 7: 1 1394.00000 cents 7: 1 1494.00000 cents 7: 1 1499.00000 cents 7: 1 1587.00000 cents 7: 2 1597.00000 cents 7: 1 1601.00000 cents 8: 1 1494.00000 cents 8: 1 1597.00000 cents 8: 2 1692.00000 cents 8: 1 1697.00000 cents 8: 1 1701.00000 cents 8: 1 1702.00000 cents 8: 1 1790.00000 cents 8: 1 1795.00000 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 401.0 699.0 902.0 1095.0 1200.0 1403.0 1601.0 1701.0 1895.0 401.0 : 298.0 501.0 694.0 799.0 1002.0 1200.0 1300.0 1494.0 1895.0 699.0 : 203.0 396.0 501.0 704.0 902.0 1002.0 1196.0 1597.0 1895.0 902.0 : 193.0 298.0 501.0 699.0 799.0 993.0 1394.0 1692.0 1895.0 1095.0: 105.0 308.0 506.0 606.0 800.0 1201.0 1499.0 1702.0 1895.0 1200.0: 203.0 401.0 501.0 695.0 1096.0 1394.0 1597.0 1790.0 1895.0 1403.0: 198.0 298.0 492.0 893.0 1191.0 1394.0 1587.0 1692.0 1895.0 1601.0: 100.0 294.0 695.0 993.0 1196.0 1389.0 1494.0 1697.0 1895.0 1701.0: 194.0 595.0 893.0 1096.0 1289.0 1394.0 1597.0 1795.0 1895.0 1895.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 401.0000 cents 301.00000 cents 100.00000 cents 2: 294.0000 .. 699.0000 cents 405.00000 cents -107.00000 cents 3: 492.0000 .. 902.0000 cents 410.00000 cents -207.00000 cents 4: 606.0000 .. 1096.0000 cents 490.00000 cents -296.00000 cents 5: 799.0000 .. 1289.0000 cents 490.00000 cents -297.00000 cents 6: 993.0000 .. 1403.0000 cents 410.00000 cents -296.00000 cents 7: 1196.0000 .. 1601.0000 cents 405.00000 cents -207.00000 cents 8: 1494.0000 .. 1795.0000 cents 301.00000 cents -107.00000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 210.5556 cents Largest one step interval : 401.00000 cents Average / Smallest step : 2.105556 Largest / Average step : 1.904485 Largest / Smallest step : 4.010000 Median interval of one step : 198.00000 cents, amount: 1 Most common interval of one step : 203.00000 cents, amount: 2 Least squares average step : 228.67719 cents, oct.: 2058.09474 cents Scale is not proper Scale is a mode of a 1895-tone equal temperament with octave 1895.000 cents degrees: 401 699 902 1095 1200 1403 1601 1701 1895 Least number of segments generator : 948 of 948.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1496 of 1496.000 cents and inv. generated superset size: 168 = 159 more = 1866.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDECFGH Step pattern size order : HGFCBFEAD Scale is not a Constant Structure Scale diversity : 0.372441 Lumma stability : 0.105541 Lumma impropriety factor : 0.593668 Rothenberg efficiency : 0.302028 redundancy: 0.697972 Efficiency x scale size : 2.718254 Number of different interval sizes : 48 = 6.00000 / class Number of one step interval sizes : 8 Highest interval variety : 9 Mean interval variety : 8.00000 = 8 Median interval variety : 7.5 Lowest interval variety : 7 Smallest interval difference : 1.00000 cents Most common intervals : 501.00000 cents & inv., amount: 4 Most common triad is 0.0 501.000 1394.000 cents, amount: 2 Number of recognisable fifths : 6, average 697.6667 cents Number of recognisable fourths : 6, average 500.3333 cents Formal octave complements present : 1 = 11.1111% 2/1 octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 2 1 1 1 1 1 1 0 1 N T3 SD: 54.3320 c. M:-83.4444 c. 10: 2 2 1 1 0 1 1 1 1 N SD: 52.5629 c. M: 85.0000 c. 11: 2 2 1 1 1 1 1 1 1 N D3 S SD: 37.0883 c. M: 61.3636 c. 14: 3 2 2 1 1 1 2 1 1 N SD: 32.4774 c. M:-58.6429 c. 19: 4 3 2 2 1 2 2 1 2 N SD: 3.9469 c. M: 6.6842 c. 90: 19 14 10 9 5 10 9 5 9 N SD: 3.5002 c. M:-7.7222 c. 109: 23 17 12 11 6 12 11 6 11 N SD: 2.4887 c. M:-5.2110 c. 128: 27 20 14 13 7 14 13 7 13 N SD: 1.9005 c. M:-3.4453 c. 147: 31 23 16 15 8 16 15 8 15 N SD: 1.6100 c. M: 2.8776 c. 166: 35 26 18 17 9 18 17 9 17 N SD: 1.5252 c. M: 2.8072 c. 185: 39 29 20 19 10 20 19 10 19 N SD: 1.5613 c. M: 3.0541 c. 204: 43 32 22 21 11 22 21 11 21 N SD: 1.6552 c. M: 3.2549 c. 208: 44 33 22 21 12 22 22 11 21 N SD: 1.8046 c. M:-2.6779 c. 223: 47 35 24 23 12 24 23 12 23 N SD: 1.7703 c. M: 3.4215 c. 227: 48 36 24 23 13 24 24 12 23 N SD: 1.4637 c. M:-2.2335 c. 246: 52 39 26 25 14 26 26 13 25 N SD: 1.2273 c. M:-1.9959 c. 265: 56 42 28 27 15 28 28 14 27 N SD: 1.0881 c. M:-1.7925 c. 284: 60 45 30 29 16 30 30 15 29 N SD: 1.0349 c. M: 1.7676 c. 303: 64 48 32 31 17 32 32 16 31 N SD: 1.0483 c. M: 2.0759 c. 336: 71 53 36 34 19 36 35 18 34 N SD: 1.0719 c. M:-2.2440 c. 344: 73 54 37 35 19 37 36 18 35 N SD: 1.2735 c. M:-2.0378 c. 349: 74 55 37 36 19 37 37 18 36 N SD: 1.2349 c. M: 2.1117 c. 355: 75 56 38 36 20 38 37 19 36 N SD: 0.8471 c. M:-1.8310 c. 363: 77 57 39 37 20 39 38 19 37 N SD: 1.0393 c. M:-1.6584 c. 374: 79 59 40 38 21 40 39 20 38 N SD: 0.6680 c. M:-1.4599 c. 382: 81 60 41 39 21 41 40 20 39 N SD: 0.8441 c. M:-1.3220 c. 393: 83 62 42 40 22 42 41 21 40 N SD: 0.5435 c. M:-1.1247 c. 412: 87 65 44 42 23 44 43 22 42 N SD: 0.4859 c. M: 0.8422 c. 696: 147 110 74 71 39 74 73 37 71 N SD: 0.6325 c. M: 0.8089 c. 704: 149 111 75 72 39 75 74 37 72 N SD: 0.4865 c. M:-0.8580 c. 723: 153 114 77 74 40 77 76 38 74 N SD: 0.4822 c. M:-0.8133 c. 756: 160 119 81 77 42 81 79 40 77 N SD: 0.5647 c. M:-0.9907 c. 760: 161 119 82 77 42 82 79 40 78 N SD: 0.5577 c. M: 0.8421 c. 761: 161 120 81 78 42 81 80 40 78 N SD: 0.5319 c. M: 1.0486 c. 775: 164 122 83 79 43 83 81 41 79 N SD: 0.4702 c. M:-0.8323 c. 794: 168 125 85 81 44 85 83 42 81 N SD: 0.3872 c. M:-0.6814 c. 813: 172 128 87 83 45 87 85 43 83 N SD: 0.3195 c. M:-0.5375 c. 832: 176 131 89 85 46 89 87 44 85 N SD: 0.2733 c. M:-0.5469 c. 851: 180 134 91 87 47 91 89 45 87 N SD: 0.2553 c. M:-0.5817 c. 1025: 217 161 110 104 57 110 107 54 105 N SD: 0.2265 c. M: 0.5220 c. 1044: 221 164 112 106 58 112 109 55 107 N SD: 0.2081 c. M: 0.4741 c. 1063: 225 167 114 108 59 114 111 56 109 N SD: 0.2139 c. M: 0.4280 c. 1082: 229 170 116 110 60 116 113 57 111 N SD: 0.2401 c. M: 0.4039 c. 1290: 273 203 138 131 72 138 135 68 132 N SD: 0.2383 c. M: 0.6008 c. 1309: 277 206 140 133 73 140 137 69 134 N SD: 0.2232 c. M: 0.5615 c. 1328: 281 209 142 135 74 142 139 70 136 N SD: 0.2228 c. M: 0.5233 c. 1355: 287 213 145 138 75 145 142 71 139 N SD: 0.2471 c. M: 0.3948 c. 1399: 296 220 150 142 78 150 146 74 143 N SD: 0.2372 c. M: 0.5325 c. 1418: 300 223 152 144 79 152 148 75 145 N SD: 0.2006 c. M: 0.4972 c. 1426: 302 224 153 145 79 153 149 75 146 N SD: 0.2115 c. M:-0.3254 c. 1437: 304 226 154 146 80 154 150 76 147 N SD: 0.1748 c. M: 0.4628 c. 1445: 306 227 155 147 80 155 151 76 148 N SD: 0.1733 c. M:-0.2941 c. 1456: 308 229 156 148 81 156 152 77 149 N SD: 0.1631 c. M: 0.4293 c. 1464: 310 230 157 149 81 157 153 77 150 N SD: 0.1462 c. M:-0.2637 c. 1475: 312 232 158 150 82 158 154 78 151 N SD: 0.1675 c. M: 0.3966 c. 1483: 314 233 159 151 82 159 155 78 152 N SD: 0.1350 c. M:-0.2340 c. 1838: 389 289 197 187 102 197 192 97 188 N SD: 0.1224 c. M:-0.2073 c. 1857: 393 292 199 189 103 199 194 98 190 N SD: 0.0808 c. M:-0.1368 c. 1876: 397 295 201 191 104 201 196 99 192 N SD: 0.0400 c. M:-0.0677 c. 1895: 401 298 203 193 105 203 198 100 194 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 x x x 3 S SD: 3.4775 cents 2 x 3 x x 4 x 5 x 6 S SD: 4.1291 cents 3:4 x 5 x 6:7 x 8:9 S SD: 19.6253 cents 4:5:6:7 x 8:9:10:11:12 S SD: 10.8159 cents 5:6 x 8:9:10:11 x 13:15 SD: 22.4780 cents 6:8:9:10:11:12:14:15:16:18 S SD: 14.1302 cents 7:9:10:12:13:14:16:18:19:21 SD: 12.2163 cents 8:10:12:13:15:16:18:20:21:24 SD: 8.0328 cents 12:15:18:20:23:24:27:30:32:36 SD: 4.7011 cents 16:20:24:27:30:32:36:40:43:48 SD: 2.8549 cents 28:35:42:47:53:56:63:71:75:84 SD: 2.5231 cents 32:40:48:54:60:64:72:81:85:96 SD: 2.4218 cents 34:43:51:57:64:68:76:86:91:102 SD: 1.9105 cents 42:53:63:71:79:84:94:106:112:125 SD: 1.5236 cents 50:63:75:84:94:100:112:126:134:149 SD: 1.2646 cents 54:68:81:91:102:108:121:136:144:161 SD: 1.1993 cents 58:73:87:98:109:116:130:146:155:173 SD: 1.1728 cents 60:76:90:101:113:120:135:151:160:179 SD: 1.1369 cents 61:77:91:103:115:122:137:154:163:182 SD: 1.0894 cents 66:83:99:111:124:132:148:166:176:197 SD: 1.0837 cents 69:87:103:116:130:138:155:174:184:206 SD: 0.8134 cents 76:96:114:128:143:152:171:192:203:227 SD: 0.6515 cents 85:107:127:143:160:170:191:214:227:254 SD: 0.6231 cents 88:111:132:148:166:176:198:222:235:263 SD: 0.6054 cents 92:116:138:155:173:184:207:232:246:275 SD: 0.4628 cents 145:183:217:244:273:290:326:366:387:433 SD: 0.4038 cents 153:193:229:258:288:306:344:386:409:457 SD: 0.3841 cents 161:203:241:271:303:322:362:406:430:481 SD: 0.1190 cents 338:426:506:569:636:676:760:852:903:1010 SD: 0.1175 cents 414:522:620:697:779:828:931:1044:1106:1237 SD: 0.0890 cents 575:725:861:968:1082:1150:1293:1450:1536:1718 SD: 0.0822 cents 579:730:867:975:1090:1158:1302:1460:1547:1730 SD: 0.0658 cents