Chords of octacot: Difference between revisions
Cassacot -> frostmic. Octagari -> nakika. Note octarod. Fix heading levels. - empty columns. |
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Below are listed the [[dyadic chord]]s of 11-limit [[octacot]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[swetismic chords|swetismic]], by [[441/440]] [[werckismic chords|werckismic]], by [[243/242]] [[rastmic chords|rastmic]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[245/242]] [[frostmic chords|frostmic]], and by [[100/99]] [[ptolemismic chords|ptolemismic]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[jove chords|jove]], those requiring any two of 441/440, 245/242 or 100/99 [[nakika chords|nakika]], those requiring any two of 540/539, 245/243 or 100/99 [[octarod chords|octarod]]. Finally, those requiring any three independent commas of those discussed above are essentially octacot and are labeled octacot. | Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[octacot]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[swetismic chords|swetismic]], by [[441/440]] [[werckismic chords|werckismic]], by [[243/242]] [[rastmic chords|rastmic]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[245/242]] [[frostmic chords|frostmic]], and by [[100/99]] [[ptolemismic chords|ptolemismic]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[jove chords|jove]], those requiring any two of 441/440, 245/242 or 100/99 [[nakika chords|nakika]], those requiring any two of 540/539, 245/243 or 100/99 [[octarod chords|octarod]]. Finally, those requiring any three independent commas of those discussed above are essentially octacot and are labeled octacot. | ||
Octacot has [[mos]] of size 13, 14, 27, 41, and 68. Even 13 notes is enough to supply plenty of harmony, including hexads. It should be noted that 88-[[cent]] equal temperament ([[88cET]]) is identical to the generator chain of octacot in the 11\150 generator tuning. Hence, if the chains listed under chords are interpreted to belong to the correct octave, the tables below may also be viewed as tables of the chords of 88cET. The transversals become transversals of 88cET if we leave them unchanged up to 11/6, and raise 9/8, 5/4, and 11/8 to 9/4, 5/2, and 11/4. | Octacot has [[mos]] of size 13, 14, 27, 41, and 68. Even 13 notes is enough to supply plenty of harmony, including hexads. It should be noted that 88-[[cent]] equal temperament ([[88cET]]) is identical to the generator chain of octacot in the 11\150 generator tuning. Hence, if the chains listed under chords are interpreted to belong to the correct octave, the tables below may also be viewed as tables of the chords of 88cET. The transversals become transversals of 88cET if we leave them unchanged up to 11/6, and raise 9/8, 5/4, and 11/8 to 9/4, 5/2, and 11/4. | ||
== Triads == | == Triads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! | ! # | ||
! Chord | ! Chord | ||
! Transversal | ! Transversal | ||
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== Tetrads == | == Tetrads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! | ! # | ||
! Chord | ! Chord | ||
! Transversal | ! Transversal | ||
| Line 802: | Line 802: | ||
== Pentads == | == Pentads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! | ! # | ||
! Chord | ! Chord | ||
! Transversal | ! Transversal | ||
| Line 1,186: | Line 1,186: | ||
== Hexads == | == Hexads == | ||
{| class="wikitable" | {| class="wikitable center-1" | ||
|- | |- | ||
! | ! # | ||
! Chord | ! Chord | ||
! Transversal | ! Transversal | ||