Notating linear temperaments

Here are some more sagittal notations that are independent of any ET (as far as they go). They use only 5-comma and 5^2-comma symbols /| and //| in addition to sharps and flats.

Since they only use 5-prime symbols they are valid for any 7-limit or higher extension of these 5-limit temperaments.

Diaschismic (including Pajara)
3s 5s
0 1 periods
1 -2 gens

... Eb Bb F C G D A E B F# C# ...
... A\ E\ B\ F#\ C#\ G#\ Eb/ Bb/ F/ C/ G/ ...
Ab/

Compatible with 22-ET notation.

Augmented (including Tripletone)
3s 5s
0 1 periods
1 0 gens

G#\\
... C#\\G#\\C#\\Ab/ Eb/ Bb/ F/ C/ G/ D/ A/ ...
... Eb Bb F C G D A E B F# C# ...
... G\ D\ A\ E\ B\ F#\ C#\ G#\ Eb//Bb//F// ...
Ab//

Not compatible with any existing sagittal notation for an ET, but 27-ET notation is closest. We don't have a notation for 33-ET that uses its native fifth. We notate it as a subset of 99-ET.

As a 7-limit temperament, I think Tripletone (the 7-limit version of Augmented that exists in 33-ET) is garbage anyway. However, the above scheme will still notate it.
-- Dave Keenan
Brisbane, Australia
http://dkeenan.com

Here are some more sagittal notations that are independent of any ET (as far as they go). They use only 5-comma and 5^2-comma symbols /| and //| (abbreviated below) in addition to sharps and flats.

Since they only use 5-prime symbols they are valid for any 7-limit or higher extension of these 5-limit temperaments.

Schismic
3s 5s
0 0 periods
1 -8 gens
...
Eb\\Bb\\F\\ C\\ G\\ D\\ A\\ E\\ B\\ F#\\C#\\G#\\
Eb\ Bb\ F\ C\ G\ D\ A\ E\ B\ F#\ C#\ G#\
Eb Bb F C G D A E B F# C# G#
Eb/ Bb/ F/ C/ G/ D/ A/ E/ B/ F#/ C#/ G#/
Eb//Bb//F// C// G// D// A// E// B// F#//C#//G#//
...

Major thirds = Magic (including Narrow major thirds (= Muggles or Wizard?))
3s 5s
0 0 periods
5 1 gens

... C E\ G#\\Cb//Eb/ G B\ D#\\Gb//Bb/ D F#\ A#\\Db//F/ A C#\ E#\\Ab//C/ E ...