Search found 221 matches

by Dave Keenan
Mon Oct 17, 2016 3:38 pm
Forum: Interval and Chord names
Topic: Chord Names in Sagittal
Replies: 9
Views: 501

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: 1814

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: 228

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:...
by Dave Keenan
Sat Oct 15, 2016 10:09 am
Forum: Equal Division notations
Topic: Key Signatures and MOS Notation
Replies: 18
Views: 659

Re: Key Signatures and MOS Notation

It would appear I forgot something. In trying to notate a score which is in A:\!: Major with some 5-comma shifts, I ended up using a key signature which has a B:\!: E:\!: A:\!: D:\!: so I'm finding that we need pai and pao key signatures for the other chain of fifths so our key signatures don't loo...
by Dave Keenan
Sat Oct 15, 2016 1:11 am
Forum: Equal Division notations
Topic: Key Signatures and MOS Notation
Replies: 18
Views: 659

Re: Key Signatures and MOS Notation

You make good points William. Perhaps one just needs to learn the 5 enharmonic pairs in whatever decatonic key one is using, despite the fact that they are very different from enharmonic pairs in 12-EDO. It seems to me that the easiest to learn would be the 5 in the middle where a pai-flat is always...
by Dave Keenan
Sat Oct 15, 2016 12:25 am
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 1814

Re: EDOs with multiple prime mappings

Having done apotome-fraction notations for EDOs with negative limmas, let's see what limma-fraction notations for EDOs with negative apotomes look like. 9edo: tone = 1, apotome = -1, limma = 2 D D> E< E E> F< F 11edo: tone = 1, apotome = -2, limma = 3 D D/ D^ E\ E E/ E^ Fv F\ F 16edo: tone = 2, apot...
by Dave Keenan
Fri Oct 14, 2016 10:58 am
Forum: Equal Division notations
Topic: Key Signatures and MOS Notation
Replies: 18
Views: 659

Re: Key Signatures and MOS Notation

So what key signature would be used for Pajara, pentachordal major: D D:\!::#: E F:\!::#: G G:\!::#: A B:\!: C C:\!::#: ? F:\!::#: B:\!: , I presume. Since those are the only nominals that don't have both natural and altered notes in the scale, they are the only ones that might be worth putting in ...
by Dave Keenan
Fri Oct 14, 2016 8:52 am
Forum: Equal Division notations
Topic: 22 EDO
Replies: 12
Views: 492

Re: 22 EDO

William Lynch wrote:Dave oh I get it now! We don't really need :/|\: and :\!/: because the 22 tempers out 55:54 right?

Right. That's certainly one way of looking at it.
by Dave Keenan
Thu Oct 13, 2016 11:32 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 1814

Re: EDOs with multiple prime mappings

On seeing exactly which EDOs, having fifth-error less than 7.5 cents, fall outside the 1:3:9 consistent zone (see diagram below) I'm not so averse to them having fractional-3-limit notations as standard. But we'd be limited to those with no more than 10 steps per apotome and no more than 8 steps per...
by Dave Keenan
Thu Oct 13, 2016 8:33 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 1814

Re: EDOs with multiple prime mappings

I fear that in not replying to everything, I'm just burying certain points under continued discussion of others. So I'm going to endeavor to address all of your points I have not yet addressed in one marathon post. Thanks. I really appreciate this. 1. When the limma is negative, 7 nominals will not...

Go to advanced search

cron