- Mon Oct 17, 2016 3:38 pm
- Forum: Interval and Chord names
- Topic: Chord Names in Sagittal
- Replies:
**9** - Views:
**889**

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...

- Sun Oct 16, 2016 12:36 am
- Forum: Equal Division notations
- Topic: EDOs with multiple prime mappings
- Replies:
**42** - Views:
**2568**

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 ...

- Sat Oct 15, 2016 6:10 pm
- Forum: Equal Division notations
- Topic: 13 EDO
- Replies:
**3** - Views:
**366**

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:...

- Sat Oct 15, 2016 10:09 am
- Forum: Equal Division notations
- Topic: Key Signatures and MOS Notation
- Replies:
**18** - Views:
**995**

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...

- Sat Oct 15, 2016 1:11 am
- Forum: Equal Division notations
- Topic: Key Signatures and MOS Notation
- Replies:
**18** - Views:
**995**

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...

- Sat Oct 15, 2016 12:25 am
- Forum: Equal Division notations
- Topic: EDOs with multiple prime mappings
- Replies:
**42** - Views:
**2568**

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...

- Fri Oct 14, 2016 10:58 am
- Forum: Equal Division notations
- Topic: Key Signatures and MOS Notation
- Replies:
**18** - Views:
**995**

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 ...

- Fri Oct 14, 2016 8:52 am
- Forum: Equal Division notations
- Topic: 22 EDO
- Replies:
**12** - Views:
**810**

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.

- Thu Oct 13, 2016 11:32 pm
- Forum: Equal Division notations
- Topic: EDOs with multiple prime mappings
- Replies:
**42** - Views:
**2568**

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...

- Thu Oct 13, 2016 8:33 pm
- Forum: Equal Division notations
- Topic: EDOs with multiple prime mappings
- Replies:
**42** - Views:
**2568**

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...