Sensamagic chords

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A sensamagic chord is an essentially tempered dyadic chord tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.

For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

Sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.

Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.

sensamagic.jpg

Sensamagic triad