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by Dave Keenan
Sun Oct 30, 2016 6:04 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 4111

Re: EDOs with multiple prime mappings

I must admit this comes as rather a shock, after having come around to your way of thinking regarding the use of fractional 3-limit notations, at least in the case of EDOs with medium to large errors in their fifths. Alright, I've banged my head against the wall long enough. What was the metaphorica...
by Dave Keenan
Sun Oct 23, 2016 1:58 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 1629

Re: Chord Names in Sagittal

Ok so just to clarify. P and p means Pao-major and Pai-minor, T and t mean Tai-major, and Tao-minor. Right? I thought I understood your intention there and was willing to go along with it and see how it panned out. But I thought you would use uppercase P for Pai because it is an upward alteration a...
by Dave Keenan
Sun Oct 23, 2016 12:31 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 1629

Re: Chord Names in Sagittal

Hmm, so you're suggesting we use the pai7 as the default 7? Why not the tao7? Because the pai-flat 7 is the default in conventional music (where pai vanishes). The default 7th in 12-edo is not the tao-flat 7th (harmonic seventh). I would modify the above as: 1. No need to qualify the triad if it's ...
by Dave Keenan
Sun Oct 23, 2016 12:21 am
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 1629

Re: Chord Names in Sagittal

Why not go the next step and drop the p and P and just call them Ct7 and C7? Because we don't do that in 12 EDO anyway, Cm7 means C Eb G Bb so Ct7 implies there is both a tai 3rd and tai 7th. Good point regarding Ct7. It would need to be written "C.t7" for it to be the approximate 4:5:6:7...
by Dave Keenan
Sat Oct 22, 2016 11:35 pm
Forum: Just Intonation notations
Topic: 13-limit JI
Replies: 51
Views: 7070

Re: 13-limit JI

On 2016-Sep-13, I wrote to Daniel Spreadbury (at Steinberg): Hi Daniel, I did post your explanation to the Sagittal forum. You can see a response here: http://forum.sagittal.org/viewtopic.php?p=372#p372 I just want to point out that since Dorico will only allow microtonality via EDOs, in order to no...
by Dave Keenan
Fri Oct 21, 2016 9:09 am
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 1629

Re: Chord Names in Sagittal

Well in that case, I wouldn't even use major and minor, just the suffixes because it's too long winded to say all that. so 4:5:6:7 is C-pao-tai-7 or CPt7 for short possibly. C:E:\!::G:B:/|::b: can be called a C-pao-pai7 or CPp7 for short. Why not go the next step and drop the p and P and just call ...
by Dave Keenan
Thu Oct 20, 2016 2:05 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 4111

Re: EDOs with multiple prime mappings

So, after spending some time on this, I have indeed discovered that by dividing 9/8 (the one consistent with the best 3/2, provided the best 3/2 is no sharper than 720¢) instead of the limma and apotome, I can accomplish exactly the same results as my original proposal with one fewer symbol pair, a...
by Dave Keenan
Mon Oct 17, 2016 3:38 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 1629

Re: Chord Names in Sagittal

So I'm running into several qualms with sagittal chord names. Assuming we already know what to call accidentals, we have Pai, Pao, Pai-flat, pao-sharp. Here's my proposed system based on Cam's system with a few modifications for special chords. This post is mainly for 22 TET but applies to everythi...
by Dave Keenan
Sun Oct 16, 2016 12:36 am
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 4111

Re: EDOs with multiple prime mappings

I've been working on this post for 2 days, so apologies if you've already covered some stuff in replies during the time I've been writing this. No worries. The 26edo notation has the advantage of treating 13edo as a spiral of whole-tones, whereas the 39edo version is a bit more complicated. I have ...
by Dave Keenan
Sat Oct 15, 2016 6:10 pm
Forum: Equal Division notations
Topic: 13 EDO
Replies: 3
Views: 597

Re: 13 EDO

In the Xenharmonikon article we recommend notating it as every 3rd note of 39-edo. But Cryptic Ruse has just made a reasonable case for notating it as every second note of 26-edo. 26-edo: (A:B, C:D, D:E, F:G, G:A = 4) (B:C, E:F = 3) (# = 1) :26-edo A A:#: A:x: A:bb: A:b: A B:...

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