1848edo: Difference between revisions

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Rank-2 temperaments: have a link like this until the name conflict is resolved.
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=== Fractional-octave temperaments ===
=== Fractional-octave temperaments ===
1848edo is unique in that it consistently tunes both [[81/80]] and [[64/63]] to an integer fraction of the octave, 1/56th and 1/44th respectively. As a corollary, it supports barium and ruthenium temperaments, which have periods 56 and 44 respectively. While every edo that is a multiple of 616 shares this property, 1848edo is unique due to its strength in simple harmonics and it actually shows how 81/80 and 64/63 are produced.  
1848edo is unique in that it consistently tunes both [[81/80]] and [[64/63]] to an integer fraction of the octave, 1/56th and 1/44th respectively. As a corollary, it supports barium and ruthenium temperaments, which have periods 56 and 44 respectively. While every edo that is a multiple of 616 shares the property of directly mapping 81/80 and 64/63 to fractions of the octave, 1848edo is unique due to its strength in simple harmonics and it actually shows how 81/80 and 64/63 are produced.  


=== Prime harmonics ===
=== Prime harmonics ===