back to list

Limitations of Scala and the JI Wars

🔗Gene W Smith <genewardsmith@juno.com>

6/30/2002 9:46:59 AM
Attachments

I wanted to listen to a chord progression, so I first tried the first
attachment (a Scala seq file); telling Scala to turn it into a midi file.
It choked on it, so I tried again with a 612-et version, but Scala
decided I'd overflowed my allotted amount of scale. So I tried the next
version, which replaced the actual JI rations with simpler ones. After
all this, the result was the attached midi file. I imagine if I'd pushed
much harder Scala would have started to complain that it ran out of midi
channels, which it sometimes will.

The question is, is this JI? I used rational numbers, but the "wrong"
ones. Would the 612-version have been JI, or only the first one? Does it
matter if Scala can't tune well enough to tell the difference?


0 tempo 120 pm
0 exclude 10
0 velocity 110
0 frequency 440

0 track 1
0 program 42

0 note (1) 239
240 note (14/15) 479
720 note (224/225) 239
960 note (3136/3375) 479
1440 note (50176/50625) 239
1680 note (702464/759375) 479
2160 note (11239424/11390625) 239
2400 note (157351936/170859375) 479
2880 note (2517630976/2562890625) 239
3120 note (35246833664/38443359375) 479
3600 note (563949338624/576650390625) 239
3840 note (7895290740736/8649755859375) 479
4320 note (126324651851776/129746337890625) 239
4560 note (1768545125924864/1946195068359375) 479
5040 note (28296722014797824/29192926025390625) 239
5280 note (396154108207169536/437893890380859375) 479

0 track 2
0 program 41

0 note (5/4) 119
120 note (7/6) 239
360 note (49/45) 119
480 note (28/25) 239
720 note (56/45) 119
840 note (784/675) 239
1080 note (10976/10125) 119
1200 note (6272/5625) 239
1440 note (12544/10125) 119
1560 note (175616/151875) 239
1800 note (2458624/2278125) 119
1920 note (1404928/1265625) 239
2160 note (2809856/2278125) 119
2280 note (39337984/34171875) 239
2520 note (550731776/512578125) 119
2640 note (314703872/284765625) 239
2880 note (629407744/512578125) 119
3000 note (8811708416/7688671875) 239
3240 note (123363917824/115330078125) 119
3360 note (70493667328/64072265625) 239
3600 note (140987334656/115330078125) 119
3720 note (1973822685184/1729951171875) 239
3960 note (27633517592576/25949267578125) 119
4080 note (15790581481472/14416259765625) 239
4320 note (31581162962944/25949267578125) 119
4440 note (442136281481216/389239013671875) 239
4680 note (6189907940737024/5838585205078125) 119
4800 note (3537090251849728/3243658447265625) 239
5040 note (7074180503699456/5838585205078125) 119
5160 note (99038527051792384/87578778076171875) 239
5400 note (1386539378725093376/1313681671142578125) 119
5520 note (792308216414339072/729823150634765625) 239

0 track 3
0 program 40

0 note (3/2) 119
120 note (7/5) 239
360 note (98/75) 359
720 note (112/75) 119
840 note (1568/1125) 239
1080 note (21952/16875) 359
1440 note (25088/16875) 119
1560 note (351232/253125) 239
1800 note (4917248/3796875) 359
2160 note (5619712/3796875) 119
2280 note (78675968/56953125) 239
2520 note (1101463552/854296875) 359
2880 note (1258815488/854296875) 119
3000 note (17623416832/12814453125) 239
3240 note (246727835648/192216796875) 359
3600 note (281974669312/192216796875) 119
3720 note (3947645370368/2883251953125) 239
3960 note (55267035185152/43248779296875) 359
4320 note (63162325925888/43248779296875) 119
4440 note (884272562962432/648731689453125) 239
4680 note (12379815881474048/9730975341796875) 359
5040 note (14148361007398912/9730975341796875) 119
5160 note (198077054103584768/145964630126953125) 239
5400 note (2773078757450186752/2189469451904296875) 359

0 track 4
0 program 40

0 note (7/4) 239
240 note (49/30) 239
480 note (112/75) 239
720 note (392/225) 239
960 note (5488/3375) 239
1200 note (25088/16875) 239
1440 note (87808/50625) 239
1680 note (1229312/759375) 239
1920 note (5619712/3796875) 239
2160 note (19668992/11390625) 239
2400 note (275365888/170859375) 239
2640 note (1258815488/854296875) 239
2880 note (4405854208/2562890625) 239
3120 note (61681958912/38443359375) 239
3360 note (281974669312/192216796875) 239
3600 note (986911342592/576650390625) 239
3840 note (13816758796288/8649755859375) 239
4080 note (63162325925888/43248779296875) 239
4320 note (221068140740608/129746337890625) 239
4560 note (3094953970368512/1946195068359375) 239
4800 note (14148361007398912/9730975341796875) 239
5040 note (49519263525896192/29192926025390625) 239
5280 note (693269689362546688/437893890380859375) 239
5520 note (3169232865657356288/2189469451904296875) 239


0 tempo 120 pm
0 exclude 10
0 velocity 110
0 equal 612
0 frequency 440

0 track 1
0 program 42

0 note 0 239
240 note -61 479
720 note -4 239
960 note -65 479
1440 note -8 239
1680 note -69 479
2160 note -12 239
2400 note -73 479
2880 note -16 239
3120 note -77 479
3600 note -20 239
3840 note -81 479
4320 note -24 239
4560 note -85 479
5040 note -28 239
5280 note -89 479
5760 note -32 960

0 track 2
0 program 41

0 note 197 119
120 note 136 239
360 note 75 119
480 note 100 239
720 note 193 119
840 note 132 239
1080 note 71 119
1200 note 96 239
1440 note 189 119
1560 note 128 239
1800 note 67 119
1920 note 92 239
2160 note 185 119
2280 note 124 239
2520 note 63 119
2640 note 88 239
2880 note 181 119
3000 note 120 239
3240 note 59 119
3360 note 84 239
3600 note 177 119
3720 note 116 239
3960 note 55 119
4080 note 80 239
4320 note 173 119
4440 note 112 239
4680 note 51 119
4800 note 76 239
5040 note 169 119
5160 note 108 239
5400 note 47 119
5520 note 72 239
5760 note 165 960

0 track 3
0 program 40

0 note 358 119
120 note 297 239
360 note 236 359
720 note 354 119
840 note 293 239
1080 note 232 359
1440 note 350 119
1560 note 289 239
1800 note 228 359
2160 note 346 119
2280 note 285 239
2520 note 224 359
2880 note 342 119
3000 note 281 239
3240 note 220 359
3600 note 338 119
3720 note 277 239
3960 note 216 359
4320 note 334 119
4440 note 273 239
4680 note 212 359
5040 note 330 119
5160 note 269 239
5400 note 208 359
5760 note 326 960

0 track 4
0 program 40

0 note 494 239
240 note 433 239
480 note 354 239
720 note 490 239
960 note 429 239
1200 note 350 239
1440 note 486 239
1680 note 425 239
1920 note 346 239
2160 note 482 239
2400 note 421 239
2640 note 342 239
2880 note 478 239
3120 note 417 239
3360 note 338 239
3600 note 474 239
3840 note 413 239
4080 note 334 239
4320 note 470 239
4560 note 409 239
4800 note 330 239
5040 note 466 239
5280 note 405 239
5520 note 326 239
5760 note 462 960


0 tempo 120 pm
0 exclude 10
0 velocity 110
0 frequency 440

0 track 1
0 program 42

0 note (1) 239
240 note (14/15) 479
720 note (224/225) 239
960 note (3136/3375) 479
1440 note (49729/50174) 239
1680 note (20428/22083) 479
2160 note (24902/25237) 239
2400 note (23450/25463) 479
2880 note (29927/30465) 239
3120 note (86614/94469) 479
3600 note (99682/101927) 239
3840 note (48839/53506) 479
4320 note (11371/11679) 239
4560 note (149856/164909) 479
5040 note (40762/42053) 239
5280 note (37091/40999) 479
5760 note (46558/48247) 960

0 track 2
0 program 41

0 note (5/4) 119
120 note (7/6) 239
360 note (49/45) 119
480 note (28/25) 239
720 note (56/45) 119
840 note (784/675) 239
1080 note (10976/10125) 119
1200 note (6272/5625) 239
1440 note (12544/10125) 119
1560 note (24492/21181) 239
1800 note (33699/31225) 119
1920 note (21845/19679) 239
2160 note (50027/40560) 119
2280 note (20826/18091) 239
2520 note (39493/36757) 119
2640 note (28140/25463) 239
2880 note (21291/17339) 119
3000 note (67447/58851) 239
3240 note (17751/16595) 119
3360 note (120845/109837) 239
3600 note (132062/108029) 119
3720 note (49841/43683) 239
3960 note (52847/49626) 119
4080 note (37468/34207) 239
4320 note (46167/37934) 119
4440 note (34796/30633) 239
4680 note (22975/21671) 119
4800 note (60476/55459) 239
5040 note (96569/79702) 119
5160 note (119618/105777) 239
5400 note (37091/35142) 119
5520 note (52457/48320) 239
5760 note (52457/43488) 960

0 track 3
0 program 40

0 note (3/2) 119
120 note (7/5) 239
360 note (98/75) 359
720 note (112/75) 119
840 note (1568/1125) 239
1080 note (21952/16875) 359
1440 note (25088/16875) 119
1560 note (10214/7361) 239
1800 note (29599/22855) 359
2160 note (50027/33800) 119
2280 note (29927/21664) 239
2520 note (32830/25463) 359
2880 note (29927/20310) 119
3000 note (139867/101701) 239
3240 note (14339/11171) 359
3600 note (144550/98537) 119
3720 note (46835/34207) 239
3960 note (26097/20422) 359
4320 note (11371/7786) 119
4440 note (77596/56927) 239
4680 note (27570/21671) 359
5040 note (58475/40218) 119
5160 note (23049/16985) 239
5400 note (37091/29285) 359
5760 note (52457/36240) 960

0 track 4
0 program 40

0 note (7/4) 239
240 note (49/30) 239
480 note (112/75) 239
720 note (392/225) 239
960 note (5488/3375) 239
1200 note (25088/16875) 239
1440 note (25535/14722) 239
1680 note (29599/18284) 239
1920 note (50027/33800) 239
2160 note (31239/18091) 239
2400 note (100277/62220) 239
2640 note (29927/20310) 239
2880 note (67447/39234) 239
3120 note (53253/33190) 239
3360 note (144550/98537) 239
3600 note (49841/29122) 239
3840 note (45833/28693) 239
4080 note (11371/7786) 239
4320 note (17398/10211) 239
4560 note (36797/23139) 239
4800 note (58475/40218) 239
5040 note (59809/35259) 239
5280 note (37091/23428) 239
5520 note (52457/36240) 239
5760 note (14589/8639) 960