Scala analysis: ragaldor
Raga-like medieval European Dorian mode with ~7/6 and ~7/4, tempered version
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 208.191 cents 208.191213 2: 7/6 266.870906 septimal minor third 3: 495.904 cents 495.904393 4: 704.096 cents 704.095607 5: 912.287 cents 912.286820 6: 970.967 cents 970.966512 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 229.0335 cents 229.0335 1: 208.1912 cents 208.1912 2: 58.6797 cents 58.6797 3: 229.0335 cents 229.0335 4: 208.1912 cents 208.1912 5: 208.1912 cents 208.1912 6: 58.6797 cents 58.6797 7: 229.0335 cents 229.0335
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 58.67969 cents 1: 3 208.19121 cents 1: 2 229.03349 cents 2: 2 7/6 266.871 cents septimal minor third 2: 2 287.71318 cents 2: 1 416.38243 cents 2: 2 437.22470 cents 3: 1 475.06212 cents 3: 5 495.90439 cents 3: 1 645.41591 cents 4: 1 554.58409 cents 4: 5 704.09561 cents 4: 1 724.93788 cents 5: 2 762.77530 cents 5: 1 783.61757 cents 5: 2 912.28682 cents 5: 2 12/7 933.129 cents septimal major sixth 6: 2 970.96651 cents 6: 3 991.80879 cents 6: 2 1141.32031 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 208.2 266.9 495.9 704.1 912.3 971.0 1200.0 208.2 : 58.7 287.7 495.9 704.1 762.8 991.8 1200.0 266.9 : 229.0 437.2 645.4 704.1 933.1 1141.3 1200.0 495.9 : 208.2 416.4 475.1 704.1 912.3 971.0 1200.0 704.1 : 208.2 266.9 495.9 704.1 762.8 991.8 1200.0 912.3 : 58.7 287.7 495.9 554.6 783.6 991.8 1200.0 971.0 : 229.0 437.2 495.9 724.9 933.1 1141.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.6797 .. 229.0335 cents 170.35379 cents 58.67969 cents 2: 266.8709 .. 437.2247 cents 170.35380 cents 37.83742 cents 3: 475.0621 .. 645.4159 cents 170.35380 cents 37.83742 cents 4: 554.5841 .. 724.9379 cents 170.35380 cents -90.83183 cents 5: 762.7753 .. 933.1291 cents 170.35380 cents 37.83742 cents 6: 970.9665 .. 1141.3203 cents 170.35380 cents 37.83742 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 58.67969 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 229.03349 cents Average / Smallest step : 2.921429 Largest / Average step : 1.336029 Largest / Smallest step : 3.903113 Median interval of one step : 208.19121 cents, amount: 3 Most common interval of one step : 208.19121 cents, amount: 3 Least squares average step : 170.23758 cents, oct.: 1191.66309 cents Scale is not proper Step pattern alph. order: ABCAABC Step pattern size order : MSLMMSL Scale is a Constant Structure, by a margin of 37.83742 cents Scale diversity : 1.326188 Lumma stability : 0.223924 Lumma impropriety factor : 0.075693 Rothenberg efficiency : 0.540136 redundancy: 0.459864 Efficiency x scale size : 3.780952 Number of different interval sizes : 20 = 3.33333 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 20.84227 cents Most common intervals : 495.90439 cents & inv., amount: 5 Most common triad is 0.0 495.904 704.096 cents, amount: 3 Number of recognisable fifths : 5, average 704.0956 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 3 = 42.8571% -- Rational properties -- Prime limit : 7 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 44.9767 c. M:-75.9862 c. Lebeng 8: 1 1 1 2 1 0 2 N D3 SD: 44.5379 c. M: 70.9665 c. 9: 2 0 2 1 2 0 2 N T3 I SD: 33.9758 c. M:-58.4755 c. 10: 2 0 2 2 2 0 2 N M DE I SD: 25.7365 c. M:-47.7132 c. 12: 2 1 2 2 2 1 2 P M ME I SD: 17.6962 c. M:-33.1291 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 17: 3 1 3 3 3 1 3 N M DE I SD: 9.1479 c. M:-17.2688 c. Supra-7 22: 4 1 4 4 4 1 4 N M DE I SD: 8.6714 c. M:-14.9859 c. Supra-7 36: 6 2 7 6 6 2 7 N SD: 6.2122 c. M: 12.2868 c. Diatonic + Soft Chromatic Diesis Phrygian 41: 7 2 8 7 7 2 8 N SD: 3.3648 c. M: 5.1129 c. 46: 8 2 9 8 8 2 9 N SD: 3.1628 c. M: 6.0013 c. 58: 10 3 11 10 10 3 11 N SD: 1.3505 c. M:-2.0946 c. 63: 11 3 12 11 11 3 12 N SD: 0.9939 c. M:-1.9989 c. 104: 18 5 20 18 18 5 20 N SD: 0.9377 c. M: 1.7357 c. 121: 21 6 23 21 21 6 23 N SD: 0.4926 c. M:-0.9343 c. 184: 32 9 35 32 32 9 35 N SD: 0.5102 c. M:-0.7726 c. 225: 39 11 43 39 39 11 43 N SD: 0.1959 c. M: 0.2998 c. 288: 50 14 55 50 50 14 55 N SD: 0.1390 c. M:-0.2132 c. 346: 60 17 66 60 60 17 66 N SD: 0.1113 c. M:-0.1811 c. 409: 71 20 78 71 71 20 78 N SD: 0.1218 c. M:-0.1826 c. 513: 89 25 98 89 89 25 98 N SD: 0.1098 c. M: 0.2063 c. 571: 99 28 109 99 99 28 109 N SD: 0.1006 c. M: 0.2028 c. 634: 110 31 121 110 110 31 121 N SD: 0.0092 c. M:-0.0160 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 1.0703 cents 3 x x 4 x 5 x 6 S SD: 9.3367 cents 4 x x 5:6 x 7:8 S SD: 27.4081 cents 5 x 6:7 x 8:9:10 S SD: 29.5133 cents 6 x 7:8:9:10:11:12 S SD: 13.8796 cents 7:8 x 9:11:12 x 14 SD: 20.7920 cents 8:9 x 11:12 x 14:16 SD: 11.1322 cents 11:12:13:15:17 x 19:22 SD: 15.4239 cents 12 x 14:16:18:20:21:24 S SD: 4.6955 cents 13 x 15:17:20:22:23:26 SD: 9.6877 cents 14:16 x 19:21:24:25:28 SD: 9.3096 cents 16:18:19:21:24:27:28:32 SD: 5.7833 cents 20 x 23:27:30:34:35:40 SD: 5.8434 cents 22:25:26:29:33:37:39:44 SD: 5.6158 cents 23:26:27:31:35:39:40:46 SD: 5.0622 cents 24:27:28:32:36:41:42:48 SD: 2.2665 cents 48:54:56:64:72:81:84:96 S SD: 1.2232 cents 72:81:84:96:108:122:126:144 SD: 0.8150 cents 78:88:91:104:117:132:137:156 SD: 0.7742 cents 102:115:119:136:153:173:179:204 SD: 0.6744 cents 108:122:126:144:162:183:189:216 SD: 0.6734 cents 133:150:155:177:200:225:233:266 SD: 0.5338 cents 150:169:175:200:225:254:263:300 SD: 0.5278 cents 157:177:183:209:236:266:275:314 SD: 0.3546 cents 229:258:267:305:344:388:401:458 SD: 0.3477 cents 235:265:274:313:353:398:412:470 SD: 0.2206 cents 343:387:400:457:515:581:601:686 SD: 0.2065 cents 359:405:419:478:539:608:629:718 SD: 0.1537 cents 492:555:574:655:739:833:862:984 SD: 0.1398 cents 516:582:602:687:775:874:904:1032 SD: 0.0696 cents