Skip fretting system 58 2 15: Difference between revisions

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Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. As it makes it particularly easy to play music composed using [[myna]] temperament, it could also be called a myna guitar.  
Among the possible [[skip fretting]] systems for 58-edo, the (58,2,15) system is especially convenient in that every 7-limit interval spans at most 3 frets, and every interval in the 2.3.5.7.13.23 subgroupspans at most 4 frets. As it makes it particularly easy to play music composed using [[myna]] temperament, it could also be called a myna guitar.  


Here is where all the primes intervals in the (58,2,15) system lie:
 
== Where the first primes intervals lie ==
 
=== As a diagram ===
 
In the folowing the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.
 
                  headstock on this side
            -  -  -  - 13  -  -  -  -  1  -  -
            13  -  -  -  -  1  -  -  -  -  -  -
            -  1  -  -  -  -  -  -  7  -  5  3
            -  -  -  -  7  -  5  3  -  -  -  -
            7  -  5  3  -  -  -  -  -  -  -  -
            -  -  -  -  -  -  -  -  -  9  -  -
            -  -  -  -  -  9  -  -  -  - 11  -
    bass    -  9  -  -  -  - 11  -  -  -  -  -  treble
    strings  -  - 11  -  -  -  -  -  -  -  -  -  strings
            -  -  -  -  -  -  -  -  -  -  -  -
            -  -  -  -  -  -  -  -  -  -  -  -
            -  -  -  -  -  -  -  -  -  -  -  -
            -  -  -  -  -  -  -  -  -  -  -  -
            -  -  -  -  -  -  -  -  -  - 13  -
            -  -  -  -  -  - 13  -  -  -  -  1
                    bridge on this side
 
=== As a table ===


{| class="wikitable"
{| class="wikitable"