elf87

Elf[87], a strictly proper MOS of elf, the 224&311 temperament

Open in Scale Workshop Scala analysis Download scl

Properties

Notes87
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_69821.html#69821
Thread1 scale
Tone (¢) Step (¢)
15 15
27 12
42 15
54 12
69 15
81 12
96 15
112 15
123 12
139 15
150 12
166 15
177 12
193 15
208 15
220 12
235 15
247 12
262 15
274 12
289 15
305 15
316 12
332 15
343 12
359 15
374 15
386 12
401 15
413 12
428 15
440 12
455 15
471 15
482 12
498 15
509 12
525 15
536 12
552 15
567 15
579 12
594 15
606 12
621 15
633 12
648 15
664 15
675 12
691 15
702 12
718 15
729 12
745 15
760 15
772 12
787 15
799 12
814 15
826 12
841 15
857 15
868 12
884 15
895 12
911 15
926 15
938 12
953 15
965 12
980 15
992 12
1007 15
1023 15
1034 12
1050 15
1061 12
1077 15
1088 12
1104 15
1119 15
1131 12
1146 15
1158 12
1173 15
1185 12
1200 15

Similar scales

FileNotesRotationMax diff (¢)
xen18-erlich-luna-87 87 14 4.9

Parent scales

FileNotesMax diff (¢)
trikelismic102 102 4.6
xen18-erlich-ennealimmal-99 99 6.8
poole100 100 20.7
xen12-hanson-13-three-ogdoadic-diamonds 91 23.5

Child scales

FileNotesMax diff (¢)
xen15-chalmers-triadic-diamond-13-11 7 0.3
xen15-chalmers-triadic-reversed-diamond-21-16 7 0.3
mavchrome1 7 0.5
xen10-wilson-purvi-02b-04 7 0.5
xen15-chalmers-triadic-reversed-diamond-5-4 7 0.5
xen12-wilson-09-4C2-hexany-05 6 0.5
xen15-chalmers-triadic-reversed-diamond-13-11 7 0.5
quasi_8-EDO 8 0.5
xen18-erlich-luna-05 5 0.6
xen10-wilson-purvi-07c-04 7 0.6
Mailing list post 
From: Gene Ward Smith (2007-02-17)
Subject: 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
Full thread (2 messages) 
From: Gene Ward Smith (2007-02-17)
Subject: 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
From: Ozan Yarman (2007-02-17)
Subject: Re: [tuning] Elf[87], a strictly proper MOS

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 \ufffdubat 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
>
>
>

Raw file

! 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
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_69821.html#69821
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 69821
! msg_id = 69821