mag22

22 note magic temperament

Properties

Notes22
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11141.html#11141
Thread1 scale
Tone (¢) Step (¢)
59 59
117 59
158 41
205 47
263 59
322 59
380 59
439 59
498 59
544 47
585 41
644 59
702 59
761 59
820 59
878 59
931 53
972 41
1024 53
1083 59
1141 59
1200 59

Similar scales

FileNotesRotationMax diff (¢)
quasic22 22 7 12.2
xen18-erlich-hedgehog-22 22 8 13.0
xen18-erlich-magic-22 22 1 13.0
xen17-erlich-unequal-22 22 0 13.5
xen18-erlich-superpyth-22 22 0 13.8
xen18-erlich-doublewide-22 22 14 13.8
22 22 10 14.5
pajcirc 22 20 14.5
edo-22 22 0 14.5
xen18-erlich-porcupine-22 22 4 17.5

Parent scales

FileNotesMax diff (¢)
partch_37 37 6.9
partch-41combo 41 6.9
xen03-wilson-partch 41 6.9
xen18-erlich-superpyth-27 27 13.8
akea46_13 46 5.9
xen03-secor-partch 43 6.9
miracle3 41 8.2
mund45 45 6.9
mundeuc45 45 6.9
xen18-erlich-miracle-41 41 8.3

Child scales

FileNotesMax diff (¢)
magic7 7 0.0
magic10 10 0.1
xen18-erlich-magic-07 7 1.3
xen18-erlich-magic-13 13 1.3
xen18-erlich-magic-10 10 1.3
magic16terzbirat 16 1.8
xen15-chalmers-triadic-diamond-56-45 7 1.9
xen15-gilson-aristoxenus-chromatic-malakon 7 2.4
xen15-chalmers-triadic-reversed-diamond-56-45 7 2.4
magic16septimage 16 2.6
Mailing list post
From: Gene Ward Smith (2004-07-28)
Subject: 22 note magic somewhat ciculating temperament

I thought I'd try to see if I could get a decent magic
well-temperament on 22 notes; the following may be too extreme to
count, in that some of the fifths in remote keys are pretty sharp, but
it might have a use. Anyway it seems clear it is possible to make a
circulating temperament in more than 12 notes, and not necessary to
stick to something quite as easy as hanson on 19.

This has 17 major thirds of 380.5 cents and 5 pure major thirds. It
has 13 nice 702.5 cent fifths, two not-so-nice 708.3 cent fifths and
then even sharper ones up to a single 731.6 cent howlin' wolf.

! mag22.scl
22 note magic temperament
22
!
58.512100
117.024201
158.083059
204.959665
263.471766
321.983866
380.495967
439.008067
497.520167
544.396773
585.455632
643.967732
702.479833
760.991933
819.504033
878.016134
930.710487
971.769345
1024.463699
1082.975799
1141.487900
1200.000000
Full thread (1 messages)
From: Gene Ward Smith (2004-07-28)
Subject: 22 note magic somewhat ciculating temperament

I thought I'd try to see if I could get a decent magic
well-temperament on 22 notes; the following may be too extreme to
count, in that some of the fifths in remote keys are pretty sharp, but
it might have a use. Anyway it seems clear it is possible to make a
circulating temperament in more than 12 notes, and not necessary to
stick to something quite as easy as hanson on 19.

This has 17 major thirds of 380.5 cents and 5 pure major thirds. It
has 13 nice 702.5 cent fifths, two not-so-nice 708.3 cent fifths and
then even sharper ones up to a single 731.6 cent howlin' wolf.

! mag22.scl
22 note magic temperament
22
!
58.512100
117.024201
158.083059
204.959665
263.471766
321.983866
380.495967
439.008067
497.520167
544.396773
585.455632
643.967732
702.479833
760.991933
819.504033
878.016134
930.710487
971.769345
1024.463699
1082.975799
1141.487900
1200.000000

Raw file

! mag22.scl
22 note magic temperament
22
!
58.512100
117.024201
158.083059
204.959665
263.471766
321.983866
380.495967
439.008067
497.520167
544.396773
585.455632
643.967732
702.479833
760.991933
819.504033
878.016134
930.710487
971.769345
1024.463699
1082.975799
1141.487900
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11141.html#11141
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11141
! msg_id = 11141