schisynch17
Schismatic[17] in synch (brat=-1) tuning
Properties
| Notes | 17 |
|---|---|
| Period | 1200.0 ¢ |
| Just | No |
| Source | Mailing lists |
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12860.html#12860 |
| Thread | 2 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
| File | Notes | Rotation | Max 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
| File | Notes | Max 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
| File | Notes | Max 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 tuning-math@yahoogroups.com, "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