Pinetone: Difference between revisions
→Pinetone chromatic: added Tetracot[7] table |
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The first pair of modes temper to Diminished[8] (m = 0), and to Father[8] (L=0). The scale has 1 augmented step of 52/45, 3 large steps of 10/9~11/10, 2 medium steps of 12/11~13/12, and 2 small steps of 25/24~33/32~27/26. | The first pair of modes temper to Diminished[8] (m = 0), and to Father[8] (L=0). The scale has 1 augmented step of 52/45, 3 large steps of 10/9~11/10, 2 medium steps of 12/11~13/12, and 2 small steps of 25/24~33/32~27/26. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table | |+Table 8.1. Modes of the just Pinetone harmonic diminished | ||
! Mode (height order) | ! Mode (height order) | ||
!Step pattern | !Step pattern | ||
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For Tables 9.1. and 9.2. modes with major and minor [8] triads (3-step) triads on the root are marked with '*'; modes with major and minor tertian (2-step) triads on the root are marked with '<sup>†</sup>' ('<sup>††</sup>' for both major and minor). | For Tables 9.1. and 9.2. modes with major and minor [8] triads (3-step) triads on the root are marked with '*'; modes with major and minor tertian (2-step) triads on the root are marked with '<sup>†</sup>' ('<sup>††</sup>' for both major and minor). | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table | |+Table 8.2. Modes of the Ptolemismic Pinetone harmonic diminished | ||
! Mode (height order) | ! Mode (height order) | ||
!Step pattern | !Step pattern | ||
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|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table | |+Table 8.3. Intervals of the Ptolemismic Pinetone harmonic diminished (variety = 20) | ||
!Interval class | !Interval class | ||
!sizes | !sizes | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
Table | Table 8.4. Intervals of modes of the Pinetone harmonic diminished | ||
!Mode | !Mode | ||
!step | !step | ||
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|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table | |+Table 8.5. 3-step stacked triads of the Ptolemismic Pinetone harmonic diminished | ||
! Mode (rotational order) | ! Mode (rotational order) | ||
!Step pattern | !Step pattern | ||