22 EDO
Posted: Sat Oct 08, 2016 9:53 am
Haven't been here in a while. This is my preferred notation for 22 EDO based on Cam's original proposal, it may be identical. I dunno
ACCIDENTALS
Accidentals come in the apotome and 1/2 apotome.
and have a value of 3 Sharp/Flat
and have a value of 1 Pai/Pao
Symbols are combined to form 2 and 4 values. Double sharp and flat can be combined with and to form values of 5.
and or "Vai/Vao" can be used for 11/8 and 16/11 if desired but I see no reason to complicate things beyond a 5 mapping for a small tuning like 22. I do use this in the intervals though.
INTERVALS
1/22 Pai Unison C C , Minor Second C D
2/22 Pai(minor) Second C D
3/22 Pao (Major) Second C D AKA "The Quill"
4/22 Major Second C D
5/22 Minor third, C E Second is it pai-major second? C D
6/22 Pai-(Minor) Third C E
7/22 Pao (maj) Third C E
8/22 Major Third C E
9/22 Natural Fourth C F
10/22 Vai Fourth C F, Vaoaug fourth? C F (Not sure what the difference besides notation) - Alternatively if using just 5 mapping, these could merely be Pai-fourth and Paoaug-fourth.
11/22 Augmented Fourth?? C F
12/22 Vaidim Fifth C G, Vao Fifth C G Again, not sure why we have both of these.
13/22 Natural Fifth C G
14/22 Vaififth C G , Minor Sixth C A
15/22 Pai-Minor Sixth C A
16/22 Pao-Major Sixth C A
17/22 Major Sixth C A
18/22 Minor Seventh C B
19/22 Pai Minor Seventh C B
20/22 Pao-Major Seventh C B
21/22 Major Seventh C B
22/22 Octave C C
Now I realize that perhaps and could be used for 7:5 but this seems a little overkill. May'be I'm wrong, If we use it, would it be like this? C F How do you pronounce this one btw? Natural may be needless but it's better than perfect.
CHORDS
(Tao) Major = M3 + 5
(Tai) Minor = m3 + 5
Pai Major = m3 + 5
Pao Minor = M3 + 5
Most chords could be spelled out interval by interval, I dunno how to handle the various dim chords.
ACCIDENTALS
Accidentals come in the apotome and 1/2 apotome.
and have a value of 3 Sharp/Flat
and have a value of 1 Pai/Pao
Symbols are combined to form 2 and 4 values. Double sharp and flat can be combined with and to form values of 5.
and or "Vai/Vao" can be used for 11/8 and 16/11 if desired but I see no reason to complicate things beyond a 5 mapping for a small tuning like 22. I do use this in the intervals though.
INTERVALS
1/22 Pai Unison C C , Minor Second C D
2/22 Pai(minor) Second C D
3/22 Pao (Major) Second C D AKA "The Quill"
4/22 Major Second C D
5/22 Minor third, C E Second is it pai-major second? C D
6/22 Pai-(Minor) Third C E
7/22 Pao (maj) Third C E
8/22 Major Third C E
9/22 Natural Fourth C F
10/22 Vai Fourth C F, Vaoaug fourth? C F (Not sure what the difference besides notation) - Alternatively if using just 5 mapping, these could merely be Pai-fourth and Paoaug-fourth.
11/22 Augmented Fourth?? C F
12/22 Vaidim Fifth C G, Vao Fifth C G Again, not sure why we have both of these.
13/22 Natural Fifth C G
14/22 Vaififth C G , Minor Sixth C A
15/22 Pai-Minor Sixth C A
16/22 Pao-Major Sixth C A
17/22 Major Sixth C A
18/22 Minor Seventh C B
19/22 Pai Minor Seventh C B
20/22 Pao-Major Seventh C B
21/22 Major Seventh C B
22/22 Octave C C
Now I realize that perhaps and could be used for 7:5 but this seems a little overkill. May'be I'm wrong, If we use it, would it be like this? C F How do you pronounce this one btw? Natural may be needless but it's better than perfect.
CHORDS
(Tao) Major = M3 + 5
(Tai) Minor = m3 + 5
Pai Major = m3 + 5
Pao Minor = M3 + 5
Most chords could be spelled out interval by interval, I dunno how to handle the various dim chords.