Kite's thoughts on enharmonic unisons: Difference between revisions
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There's one type of edo notation that does not produce any EUs: giving each note a unique letter. For example, an octave of 7edo is notated {{nowrap|C D E F G A B C}}. The intervals are named 1sn, 2nd, 3rd, 4th, 5th, 6th, 7th, and octave, all perfect. There are no major or minor or augmented or diminished intervals. As long as one refrains from using sharps or flats, there will be one and only one name for each note and each interval. Because there is a finite number of possible note names, this notation is rank-1 not rank-2. | There's one type of edo notation that does not produce any EUs: giving each note a unique letter. For example, an octave of 7edo is notated {{nowrap|C D E F G A B C}}. The intervals are named 1sn, 2nd, 3rd, 4th, 5th, 6th, 7th, and octave, all perfect. There are no major or minor or augmented or diminished intervals. As long as one refrains from using sharps or flats, there will be one and only one name for each note and each interval. Because there is a finite number of possible note names, this notation is rank-1 not rank-2. | ||
Likewise, if an octave of 8edo were notated as J K L M N O P Q J with no sharps or flats, there would be no EUs. Though, this type of notation is obviously only practical for small edos. | Likewise, if an octave of 8edo were notated as {{nowrap|J K L M N O P Q J}} with no sharps or flats, there would be no EUs. Though, this type of notation is obviously only practical for small edos. | ||
The usage of half-sharps and half-flats ({{demisharp2}} and {{demiflat2}}) creates a rather obvious EU: {{demiflat2}}{{demiflat2}}{{nbhsp}}A1. | The usage of half-sharps and half-flats ({{demisharp2}} and {{demiflat2}}) creates a rather obvious EU: {{demiflat2}}{{demiflat2}}{{nbhsp}}A1. | ||