Elf[87], a strictly proper MOS

"Elf" because the generator is 11, which is "elf" in German and
Dutch. It is the 224&311 temperament, so high precision and high
prime limit rule the day. Here is a strictly proper MOS in the 311
tuning, which Ozan might want to look at as a maqam scale. It's
possible the flat fifth, which is 691 cents, will be too flat for
him, but the sharp fifth of 706 cents should do.

! elf87.scl
Elf[87], a strictly proper MOS of elf, the 224&311 temperament
87
!
15.434084
27.009646
42.443730
54.019293
69.453376
81.028939
96.463023
111.897106
123.472669
138.906752
150.482315
165.916399
177.491961
192.926045
208.360129
219.935691
235.369775
246.945338
262.379421
273.954984
289.389068
304.823151
316.398714
331.832797
343.408360
358.842444
374.276527
385.852090
401.286174
412.861736
428.295820
439.871383
455.305466
470.739550
482.315113
497.749196
509.324759
524.758842
536.334405
551.768489
567.202572
578.778135
594.212219
605.787781
621.221865
632.797428
648.231511
663.665595
675.241158
690.675241
702.250804
717.684887
729.260450
744.694534
760.128617
771.704180
787.138264
798.713826
814.147910
825.723473
841.157556
856.591640
868.167203
883.601286
895.176849
910.610932
926.045016
937.620579
953.054662
964.630225
980.064309
991.639871
1007.073955
1022.508039
1034.083601
1049.517685
1061.093248
1076.527331
1088.102894
1103.536977
1118.971061
1130.546624
1145.980707
1157.556270
1172.990354
1184.565916
1200.000000

691 is an impossibly low fifth, and thus, dysfunctional for the formation of
maqamat.

Oz.

----- Original Message -----
From: "Gene Ward Smith" <genewardsmith@coolgoose.com>
To: <tuning@yahoogroups.com>
Sent: 17 �ubat 2007 Cumartesi 9:29
Subject: [tuning] Elf[87], a strictly proper MOS

> "Elf" because the generator is 11, which is "elf" in German and
> Dutch. It is the 224&311 temperament, so high precision and high
> prime limit rule the day. Here is a strictly proper MOS in the 311
> tuning, which Ozan might want to look at as a maqam scale. It's
> possible the flat fifth, which is 691 cents, will be too flat for
> him, but the sharp fifth of 706 cents should do.
>
> ! elf87.scl
> Elf[87], a strictly proper MOS of elf, the 224&311 temperament
> 87
> !
> 15.434084
> 27.009646
> 42.443730
> 54.019293
> 69.453376
> 81.028939
> 96.463023
> 111.897106
> 123.472669
> 138.906752
> 150.482315
> 165.916399
> 177.491961
> 192.926045
> 208.360129
> 219.935691
> 235.369775
> 246.945338
> 262.379421
> 273.954984
> 289.389068
> 304.823151
> 316.398714
> 331.832797
> 343.408360
> 358.842444
> 374.276527
> 385.852090
> 401.286174
> 412.861736
> 428.295820
> 439.871383
> 455.305466
> 470.739550
> 482.315113
> 497.749196
> 509.324759
> 524.758842
> 536.334405
> 551.768489
> 567.202572
> 578.778135
> 594.212219
> 605.787781
> 621.221865
> 632.797428
> 648.231511
> 663.665595
> 675.241158
> 690.675241
> 702.250804
> 717.684887
> 729.260450
> 744.694534
> 760.128617
> 771.704180
> 787.138264
> 798.713826
> 814.147910
> 825.723473
> 841.157556
> 856.591640
> 868.167203
> 883.601286
> 895.176849
> 910.610932
> 926.045016
> 937.620579
> 953.054662
> 964.630225
> 980.064309
> 991.639871
> 1007.073955
> 1022.508039
> 1034.083601
> 1049.517685
> 1061.093248
> 1076.527331
> 1088.102894
> 1103.536977
> 1118.971061
> 1130.546624
> 1145.980707
> 1157.556270
> 1172.990354
> 1184.565916
> 1200.000000
>
>
>