Sensi: Difference between revisions
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{{main| Chords of sensus }} | {{main| Chords of sensus }} | ||
The "fundamental otonal consonance" of sensi (in this article's definition of sensi) is 4:5:6:7:13. However, the full chord isn't available in the 8-note MOS. | |||
The most common consonant triad in sensi is the 6:10:13 triad, which spans 3 generators. Sensi[8] has five 6:10:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad. Having many diminished triads and consonant chords without roots (fundamentals), it is similar to the 12edo diminished scale in some ways. Sensi is interesting mainly because it gives new 13-limit interpretations to fairly familiar (in the sense of extended meantone-like) intervals. Restricted to the 8-note MOS, it is essentially a [[non-over-1 temperament]]. | The most common consonant triad in sensi is the 6:10:13 triad, which spans 3 generators. Sensi[8] has five 6:10:13 triads, four 7:9:13 triads, three 5:6:7:9 tetrads and one 5:6:7:9:13 pentad. Having many diminished triads and consonant chords without roots (fundamentals), it is similar to the 12edo diminished scale in some ways. Sensi is interesting mainly because it gives new 13-limit interpretations to fairly familiar (in the sense of extended meantone-like) intervals. Restricted to the 8-note MOS, it is essentially a [[non-over-1 temperament]]. | ||
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Melodically, sensi[8] sounds fairly familiar because many intervals are either 5-limit or have familiar categorical interpretations, being represented in the meantone tuning [[19edo]]. For example, the small step of about 130 cents categorizes pretty well as a large semitone (except at places in the scale where two of them make a flat subminor third); the large step is a small whole tone representing 10/9. | Melodically, sensi[8] sounds fairly familiar because many intervals are either 5-limit or have familiar categorical interpretations, being represented in the meantone tuning [[19edo]]. For example, the small step of about 130 cents categorizes pretty well as a large semitone (except at places in the scale where two of them make a flat subminor third); the large step is a small whole tone representing 10/9. | ||
The root- | The root-sen5th-sen8th chords in sensi[8] usually spell 5:7:9 (root-minor sen5th-minor sen8th) and 7:10:13 (root-major sen5th-major sen8th) chords (shown in the Anti-Dylathian mode QJKLMNOPQ = ssLssLsL): | ||
* Q M P = ssLs sLs L | * Q M P = ssLs sLs L ≈ 5:7:9 | ||
* J N Q = sLss LsL s | * J N Q = sLss LsL s is the odd one out | ||
* K O J = LssL sLs s | * K O J = LssL sLs s ≈ 7:10:13 | ||
* L P K = ssLs Lss L | * L P K = ssLs Lss L ≈ 5:7:9 | ||
* M Q L = sLsL ssL s | * M Q L = sLsL ssL s ≈ 7:10:13 | ||
* N J M = LsLs sLs s | * N J M = LsLs sLs s ≈ 7:10:13 | ||
* O K N = sLss Lss L | * O K N = sLss Lss L ≈ 5:7:9 | ||
* P L O = LssL ssL s | * P L O = LssL ssL s ≈ 7:10:13 | ||
Other otonal chords approximated in the 8-note MOS include: | |||
* root - maj. sen7th - maj. sen8th ≈ 7:12:13 | |||
* root - maj. sen2nd - maj. sen5th ≈ 9:10:13 | |||
* root - min. sen3rd - dim. sen6th ≈ 6:7:9 | |||
* root - perf. sen4th - dim. sen6th ≈ 10:13:15 (ultramajor triad) | |||
* root - min. sen7th - min. sen3rd (+ octave) ≈ 3:5:7 | |||
* root - min. sen7th - min. sen2nd (+ octave) ≈ 6:10:13 | |||
* root - dim. sen6th - min. sen7th ≈ 6:9:10 | |||
* root - dim. sen6th - min. sen2nd (+octave) ≈ 6:9:13 | |||
== Scales == | == Scales == | ||