13edo: Difference between revisions

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m Theory: Ref pitch for J
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m Kentaku considers this section to be old, they decided to contribute new diagrams to this and the 5L 3s article.
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There is a great number of potential consonant harmonies in this scale. A dedicated article on harmony and tonality in the oneirotonic scale is forthcoming.
There is a great number of potential consonant harmonies in this scale. A dedicated article on harmony and tonality in the oneirotonic scale is forthcoming.
=== The Kentaku (aka William Lynch) Method for Octatonic Notation ===
Normally, 13edo can be notated by adding an accidental between E and F. For some reading the same staff with the same letters but in different places can be mind boggling and lead to confusion. That's why some have recommended different options.
13edo may be better suited to be notated by using the 8 notes of the MOS father[8] as the notes except that similarly to meantone, the 4th mode of Father[8] is the default "Basic" mode of 13edo and is notated with new letters. A new set of letters may benefit by giving 13edo a fresh perspective. [[William Lynch]] proposes using the letters JKLMNOPQ as the notes of the 4th mode of Father[8] with J being an 11/8 from a normal C, in order to give it a more personal identify rather than hearing it as C. The remaining letters of 13 edo are notated with sharps and flats like 12edo. The whole alphabet is written J-J#-K-K#-L-M-M#-N-N#-O-P-P#-Q-J . There are no accidentals between LM, OP, and QJ. The idea behind using the 4th mode rather than the 1st is that this mode contains a warmer sounding shape because it has a natural sixth instead of a flat one so William has chosen this to be the default mode rather than Dylathian.
This new approach simply modifies the way 13edo is systematized and notated but is based on the exact same 8 tone scale that Cryptic Ruse uses.
[[File:13_edo_alphabet.PNG|alt=13 edo alphabet.PNG|13 edo alphabet.PNG]]
Notation written on the staff looks nearly the same as 12edo notation, except that because there are 8 letters instead of 7, the notes offset themselves to where space-to-space and line-to-line are now octaves rather than line-to-space. This makes learning the system much easier because a letter that is on a line is always on a line.
13EDO Chromatic Scale in Octatonic Notation:
[[File:dylathian1.PNG|alt=dylathian1.PNG|dylathian1.PNG]]
[[File:13_edo_chromatic_scale.PNG|alt=13 edo chromatic scale.PNG|13 edo chromatic scale.PNG]]
Also, this approach allows for a circle of fourths to be produced:
[[File:13_ET_circle_of_fourths.PNG|alt=13 ET circle of fourths.PNG|13 ET circle of fourths.PNG]]
Listen to Ryonian on J (F#):
[[File:13_edo_Ryo_mode.mp3]]
Listen to Dylathian on J: (F#)
[[File:13_edo_8_tone_mode_1.mp3]]
[[Kentaku's_Approach_to_13EDO|More on William Lynch's 13 EDO octaton approach]]


== Mapping to Standard Keyboards ==
== Mapping to Standard Keyboards ==
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==See also==
==See also==
 
* [[Kentaku's_Approach_to_13EDO|William Lynch's 13 EDO octaton approach]]
* [[13EDO Scales and Chords for Guitar]]
* [[13EDO Scales and Chords for Guitar]]
* [[13edo scales]]
* [[13edo scales]]