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Names for 26 EDO Intervals - The Sagittal forum

Names for 26 EDO Intervals

William Lynch
Posts: 45
Joined: Mon Sep 21, 2015 9:27 pm

Names for 26 EDO Intervals

Postby William Lynch » Sun May 15, 2016 5:33 am

These are my proposed names for 26 EDO intervals. Sagittal uses normal accidentals for 26 so these names are extremely intuitive. I didn't use any of my usual artsy jargon but made them as clear and simple as possible. I would note that I have eliminated augmented and diminished entirely as I think they cause annoying confusion. I could be doing a bad thing here so let me know if you think we should keep augmented and diminished for certain intervals.

1/26 C C Perfect First
2/26 C C#, C Dbb Sharp-First, Flat Minor Second (Flat Second)
3/26 C Db Minor Second
4/26 C D Major Second
5/26 C D# Sharp-Major Second (Sharp Second)
6/26 C Dx, Super Sharp Major Second, C Ebb, Flat Minor Third (Flat third)
7/26 C Eb Minor Third
8/26 C E Major Third
9/26 C E# Sharp-Major Third (Sharp Third)
10/26 C Ex Super-Sharp Major Third, C Fb Flat Fourth
11/26 C F Perfect Fourth
12/26 C F# Sharp-Fourth
13/26 C Fx Super-Sharp Fourth, C Gbb Super-Flat Fifth
14/26 C Gb Flat-Fifth
15/26 C G Perfect Fifth
16/26 C G# Sharp-Fifth
17/26 C Gx Super Sharp Fifth, C Abb Super-Flat Minor Sixth
18/26 C Ab Minor Sixth
19/26 C A Major Sixth
20/26 C A# Sharp-Major Sixth
21/26 C Ax Super-Sharp Major Sixth C Bbb Super-Flat Minor Seventh
22/26 C Bb Minor Seventh
23/26 C B Major Seventh
24/26 C B# Sharp Major Seventh
25/26 C Cb Flat Octave, C Bx Super Sharp Major Seventh
26/26 C C Perfect Octave

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Dave Keenan
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Re: Names for 26 EDO Intervals

Postby Dave Keenan » Sun May 15, 2016 11:39 am

Hi William. I figure you'd want to get the pitch notation correct before we bother looking at your interval nomenclature. I think your mistakes were (a) to begin numbering from zero, and (b) to omit Cx, Dbb. The second mistake cancels out the first, so your list is correct from Db onward. And I note that you've used slashes for your octave fractions thereby risking confusion with frequency ratios. The convention is to use either backslashes or degree symbols e.g. 1\26 or 1°26. The pitch notation for 26 edo is:


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Dave Keenan
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Re: Names for 26 EDO Intervals

Postby Dave Keenan » Sun May 15, 2016 1:02 pm

Here are my usual two preferences, which can be used simultaneously without ambiguity:

Of course alternative names are possible for many intervals, in what is hopefully an obvious manner. The system used to derive the "by sound" names is described in .

William Lynch
Posts: 45
Joined: Mon Sep 21, 2015 9:27 pm

Re: Names for 26 EDO Intervals

Postby William Lynch » Sun May 15, 2016 10:05 pm

Oh yeah thanks for the pitch correction. I wanted to entirely get rid of augmented and diminished as I think they do nothing but cause confusion in microtonal systems. I propose either Wide/Narrow or Super/Sub but not use Aug/dim at all. Paul Erlich's suggestion was Wide and Narrow for +1 and -1 and Superwide and Sub-Narrow for +2, -2. In other words why is 11/8 an aug4 but 9/7 a supermajor? Why not just have 11/8 as super fourth and 9/7 a supermajor third? It's less confusing to have only one term meaning +1 or -1.

But I prefer Wide and Narrow for 1, and Super Sub for 2 thus we have

C C Perfect First
C C# Wide First, C Dbbb Super-Narrow (Minor) Second
C Cx Super-wide First, C Dbb Narrow (Minor) Second
C Db Minor Second
C D Major Second
C D# Wide (Major) Second
C Dx Superwide (Major) Second, C Ebbb Super-Narrow (Minor) Third
C Ebb Narrow (Minor) Third
C Eb Minor Third
C E Major Third
C E# Wide (Major) Third
C Ex Super-wide (Major) Third, C Fb Narrow Fourth
C F Perfect Fourth
C F# Wide Fourth
C Fx Superwide Fourth, C Gbb Super Narrow Fifth
C Gb Narrow Fifth
C G Perfect Fifth
C G Super Fifth
.....

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Dave Keenan
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Re: Names for 26 EDO Intervals

Postby Dave Keenan » Sun May 15, 2016 11:51 pm

Last edited by Dave Keenan on Mon May 16, 2016 11:37 am, edited 1 time in total.
Reason: Corrected "narrow subminor third" to "narrow minor third".


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