pajcirc

circulating pajara/diaschismic based 22 note scale with integer brats

Properties

Notes22
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_62017.html#62017
Thread1 scale
Tone (¢) Step (¢)
55 55
109 54
164 56
218 54
273 55
327 54
382 55
437 54
491 54
547 56
600 53
655 55
709 54
764 56
818 54
873 55
927 54
982 55
1037 54
1091 54
1147 56
1200 53

Similar scales

FileNotesRotationMax diff (¢)
22 22 0 1.3
edo-22 22 2 1.3
xen18-erlich-doublewide-22 22 3 2.0
xen18-erlich-hedgehog-22 22 14 5.5
xen18-erlich-superpyth-22 22 9 5.9
xen17-erlich-unequal-22 22 2 6.5
xen18-erlich-porcupine-22 22 6 10.6
mag22 22 21 11.1
xen18-erlich-pajara-22 22 2 11.9
top-orwell-22 22 0 12.2

Parent scales

FileNotesMax diff (¢)
xen18-erlich-superpyth-27 27 5.8
xen18-erlich-hedgehog-30 30 5.5
xen18-erlich-doublewide-40 40 2.0
edo-44 44 1.3
julius24 24 13.3
xen18-erlich-porcupine-37 37 9.3
xen18-erlich-orwell-31 31 12.2
xen18-erlich-orson-31 31 12.3
edo-66 66 1.3
xen18-erlich-pajara-34 34 11.9

Child scales

FileNotesMax diff (¢)
xen17-erlich-static-symmetrical-minor 10 0.2
xen17-erlich-alternate-pentachordal-minor 10 0.3
xen17-erlich-dynamic-symmetrical-minor 10 0.3
xen17-erlich-standard-pentachordal-minor 10 0.3
xen17-erlich-alternate-pentachordal-major 10 0.3
xen17-erlich-dynamic-symmetrical-major 10 0.3
xen17-erlich-standard-pentachordal-major 10 0.3
xen17-erlich-static-symmetrical-major 10 0.3
hexat11a 6 0.3
porcupine15 15 1.3
Mailing list post
From: Gene Ward Smith (2005-11-01)
Subject: A 22 note circulating scale with integer brats

To vary the theme, here is a scale of 22 notes with 18 brats of 4,
2 brats of 3, and 2 complex ratio brats. It can be used in place of 22
edo, particularly for pajara. The precise values of the notes involve
the square root of two.

! pajcirc.scl
circulating pajara/diaschismic based 22 note scale with integer brats
22
!
54.745648
108.867720
164.400570
217.995909
272.853507
327.109859
382.152795
436.631407
490.863211
546.803784
600.000000
654.745648
708.867720
764.400570
817.995909
872.853507
927.109859
982.152795
1036.631407
1090.863211
1146.803784
1200.000000
Full thread (2 messages)
From: Gene Ward Smith (2005-11-01)
Subject: A 22 note circulating scale with integer brats

To vary the theme, here is a scale of 22 notes with 18 brats of 4,
2 brats of 3, and 2 complex ratio brats. It can be used in place of 22
edo, particularly for pajara. The precise values of the notes involve
the square root of two.

! pajcirc.scl
circulating pajara/diaschismic based 22 note scale with integer brats
22
!
54.745648
108.867720
164.400570
217.995909
272.853507
327.109859
382.152795
436.631407
490.863211
546.803784
600.000000
654.745648
708.867720
764.400570
817.995909
872.853507
927.109859
982.152795
1036.631407
1090.863211
1146.803784
1200.000000
From: threesixesinarow (2005-11-01)
Subject: Re: A 22 note circulating scale with integer brats

--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...> wrote:
>
> To vary the theme, here is a scale of 22 notes with 18 brats of 4,
> 2 brats of 3, and 2 complex ratio brats. It can be used in place of 
22
> edo, particularly for pajara. The precise values of the notes 
involve
> the square root of two.

This always impressed me as one of the interesting features in 22 
equal, how close they are already that maybe some musicians can adjust 
almost automatically.

Clark

Raw file

! pajcirc.scl
circulating pajara/diaschismic based 22 note scale with integer brats
22
!
54.745648
108.867720
164.400570
217.995909
272.853507
327.109859
382.152795
436.631407
490.863211
546.803784
600.000000
654.745648
708.867720
764.400570
817.995909
872.853507
927.109859
982.152795
1036.631407
1090.863211
1146.803784
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_62017.html#62017
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 62017
! msg_id = 62017