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Here's a table of the *range* of the virtual pitch continuum
which can be represented by each 144-EDO note. I cover only
one semitone, as it can be reproduced similarly for the other 11.

The table gives the absolute Semitone ranges (i.e., cents
as a fraction of semitones), the nearest 12-EDO degree and
its cents deviation (i.e., to relate 144-EDO to Johnny
Reinhard's 1200-EDO notation), and MIDI pitch-bend values
for the deviation from 12-EDO.

This emphasizes the use of 144-EDO as a *notation*, rather
than as an actual tuning. (The latter would give the precise
cent or pitch-bend value of each 144-EDO degree, which I've
done here before.)

This is how Dan Stearns and I use 144-EDO to *represent* pitches
which we expect to actually be tuned slightly differently,
usually JI in my case, and poly-EDOs in Dan's case.

(This post is a preliminary to an upcoming one about
my _Spider_ piece.)

nearest cents MIDI
12-EDO deviation pitch
Semitones degree from 12-EDO bend

1.04 1 + 0.04 + 171
12 C# <
0.96 1 - 0.04 - 171
11 C#~- <
0.88 1 - 0.13 - 512
10 C#- <
0.79 1 - 0.21 - 853
9 C#~< <
0.71 1 - 0.29 - 1195
8 C#< <
0.63 1 - 0.38 - 1536
7 C#~v <
0.54 1 - 0.46 - 1877
6 C^ or C#v <
0.46 0 + 0.46 + 1877
5 C~^ <
0.38 0 + 0.38 + 1536
4 C> <
0.29 0 + 0.29 + 1195
3 C~> <
0.21 0 + 0.21 + 853
2 C+ <
0.13 0 + 0.13 + 512
1 C~+ <
0.04 0 + 0.04 + 171
0 C <
-0.04 0 - 0.04 - 171

-monz
http://www.monz.org
"All roads lead to n^0"

--- In tuning@y..., "monz" <MONZ@J...> wrote:

>
> Here's a table of the *range* of the virtual pitch continuum
> which can be represented by each 144-EDO note

Rats! I forgot to put a subject line. Please use this
one if responding to this post.

-monz