schisynch17

Schismatic[17] in synch (brat=-1) tuning

Properties

Notes17
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12860.html#12860
Thread2 scales
Tone (¢) Step (¢)
91 91
183 91
203 21
295 91
386 91
407 21
498 91
590 91
681 91
702 21
793 91
884 91
905 21
997 91
1088 91
1109 21
1200 91

Similar scales

FileNotesRotationMax diff (¢)
xen18-erlich-helmholtz-17 17 13 0.2
dwarf17_5 17 7 1.1
xen02-wilson-arabic 17 7 1.1
xen03-wilson-positive-17 17 0 1.4
pyth_17 17 16 2.5
xen18-darreg-djami-17 17 7 3.0
xen18-erlich-garibaldi-17 17 13 4.7
xen18-erlich-dominant-17 17 13 7.2
uruk 17 16 8.3

Parent scales

FileNotesMax diff (¢)
jsmith24 24 1.1
schisynch29 29 0.0
xen18-erlich-helmholtz-29 29 0.2
xen03-wilson-positive-29 29 1.4
garibaldi24 24 4.4
schis24 24 4.4
xen18-erlich-garibaldi-29 29 4.7
xen18-erlich-compton-24 24 8.1
xen18-erlich-helmholtz-41 41 0.2
xen03-wilson-positive-41 41 1.4

Child scales

FileNotesMax diff (¢)
xen18-erlich-helmholtz-05 5 0.1
xen18-erlich-helmholtz-07 7 0.1
xen18-erlich-helmholtz-12 12 0.2
schismatic12 12 0.2
xen09-wilson-marwa-03-09 7 0.4
xen12-chalmers-tritriadic-dm-3-5-15 7 0.4
Newton_ext_mixolydian 8 0.5
mavchrome7 7 0.5
synmav3 7 0.5
xen09-chalmers-tritriadic-4-5-6 7 0.5
Mailing list post
From: Gene Ward Smith (2005-10-12)
Subject: Synched schismatic

The synched tuning for schismatic is poptimal, but you can avoid
synchronized beating if you wish with other poptimal tunings, such as
289-et. Below I give the synched tuning for two schismatic MOS, so you
can see what the beats do for you.

! schisynch17.scl
Schismatic[17] in synch (brat=-1) tuning
! fifth satisfies f^9 + f^8 - 64 = 0
17
!
91.360882
182.721764
203.455647
294.816529
386.177411
406.911294
498.272176
589.633058
680.993940
701.727824
793.088706
884.449587
905.183471
996.544353
1087.905235
1108.639118
1200.000000

! schisynch29.scl
Schismatic[29] in synch (brat=-1) tuning
! fifth satisfies f^9 + f^8 - 64 = 0
29
!
70.626999
91.360882
112.094765
182.721764
203.455647
274.082646
294.816529
315.550413
386.177411
406.911294
477.538293
498.272176
519.006060
589.633058
610.366942
680.993940
701.727824
772.354822
793.088706
813.822589
884.449587
905.183471
975.810469
996.544353
1017.278236
1087.905235
1108.639118
1179.266117
1200.000000
Full thread (2 messages)
From: Gene Ward Smith (2005-10-12)
Subject: Synched schismatic

The synched tuning for schismatic is poptimal, but you can avoid
synchronized beating if you wish with other poptimal tunings, such as
289-et. Below I give the synched tuning for two schismatic MOS, so you
can see what the beats do for you.

! schisynch17.scl
Schismatic[17] in synch (brat=-1) tuning
! fifth satisfies f^9 + f^8 - 64 = 0
17
!
91.360882
182.721764
203.455647
294.816529
386.177411
406.911294
498.272176
589.633058
680.993940
701.727824
793.088706
884.449587
905.183471
996.544353
1087.905235
1108.639118
1200.000000

! schisynch29.scl
Schismatic[29] in synch (brat=-1) tuning
! fifth satisfies f^9 + f^8 - 64 = 0
29
!
70.626999
91.360882
112.094765
182.721764
203.455647
274.082646
294.816529
315.550413
386.177411
406.911294
477.538293
498.272176
519.006060
589.633058
610.366942
680.993940
701.727824
772.354822
793.088706
813.822589
884.449587
905.183471
975.810469
996.544353
1017.278236
1087.905235
1108.639118
1179.266117
1200.000000
From: Gene Ward Smith (2005-10-12)
Subject: Re: Synched schismatic

--- In [email protected], "Gene Ward Smith" <gwsmith@s...>
wrote:

> ! schisynch17.scl
> Schismatic[17] in synch (brat=-1) tuning
> ! fifth satisfies f^9 + f^8 - 64 = 0

! meanschis_17.scl
!
17-tone 1/8-schisma tempered meantone scale

When I put schisynch17 into the Scala directory, Scala concluded it
was the same as meanschis_17, which is Schismatic[17] (incorrectly
claimined to be meantone, it seems to me, as there's not much point in
the schismatic thirds if you don't use them.) From a beat point of view,
1/8-schisma schismatic is quite different from synched schismatic,
which is extremely close to 5/43-schisma schismatic. One gives you
pure major thirds, and the other synched beating; brat infinity as
opposed to brat -1.

Raw file

! schisynch17.scl
Schismatic[17] in synch (brat=-1) tuning
! fifth satisfies f^9 + f^8 - 64 = 0
17
!
91.360882
182.721764
203.455647
294.816529
386.177411
406.911294
498.272176
589.633058
680.993940
701.727824
793.088706
884.449587
905.183471
996.544353
1087.905235
1108.639118
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12860.html#12860
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 12860
! msg_id = 12860