Pinetone: Difference between revisions
| Line 3,507: | Line 3,507: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table 9.1. Modes of the just Pinetone harmonic diminished | |+Table 9.1. Modes of the just Pinetone harmonic diminished | ||
! Mode | !Mode number | ||
! Mode name | |||
!Step pattern | !Step pattern | ||
!Oneirotonic step pattern | !Oneirotonic step pattern | ||
| Line 3,514: | Line 3,515: | ||
! Comments | ! Comments | ||
|- | |- | ||
|4 | |||
|Hlanithian diminished | |Hlanithian diminished | ||
|AsLMLMLs | |AsLMLMLs | ||
| Line 3,521: | Line 3,523: | ||
| | | | ||
|- | |- | ||
|3 | |||
|Mnarian diminished* | |Mnarian diminished* | ||
|LMLMLsAs | |LMLMLsAs | ||
| Line 3,528: | Line 3,531: | ||
| | | | ||
|- | |- | ||
|2 | |||
|Celephaïsian diminished* | |Celephaïsian diminished* | ||
|LMLsAsLM | |LMLsAsLM | ||
| Line 3,535: | Line 3,539: | ||
| | | | ||
|- | |- | ||
|1 | |||
|Sarnathian diminished<sup>†</sup> | |Sarnathian diminished<sup>†</sup> | ||
|MLMLsAsL | |MLMLsAsL | ||
| Line 3,542: | Line 3,547: | ||
|10:12:15 on the root | |10:12:15 on the root | ||
|- | |- | ||
| -1 | |||
|Dylathian diminished* | |Dylathian diminished* | ||
|LsAsLMLM | |LsAsLMLM | ||
| Line 3,549: | Line 3,555: | ||
| | | | ||
|- | |- | ||
| -2 | |||
|Kadathian diminished*<sup>††</sup> | |Kadathian diminished*<sup>††</sup> | ||
|MLsAsLML | |MLsAsLML | ||
| Line 3,556: | Line 3,563: | ||
|root 4:5:6,10:12:15 | |root 4:5:6,10:12:15 | ||
|- | |- | ||
| -3 | |||
|Ultharian diminished*<sup>††</sup> | |Ultharian diminished*<sup>††</sup> | ||
|sAsLMLML | |sAsLMLML | ||
| Line 3,563: | Line 3,571: | ||
|root 4:5:6,10:12:15 | |root 4:5:6,10:12:15 | ||
|- | |- | ||
| -4 | |||
|Illarnekian diminished*<sup>†</sup> | |Illarnekian diminished*<sup>†</sup> | ||
|sLMLMLsA | |sLMLMLsA | ||
| Line 3,573: | Line 3,582: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Table 9.2. Modes of the Ptolemismic Pinetone harmonic diminished | |+Table 9.2. Modes of the Ptolemismic Pinetone harmonic diminished | ||
! Mode | !Mode number | ||
! Mode name | |||
!Step pattern | !Step pattern | ||
!Mode as simplest JI pre-image 5-limit JI | !Mode as simplest JI pre-image 5-limit JI | ||
| Line 3,579: | Line 3,589: | ||
!Comments | !Comments | ||
|- | |- | ||
|4 | |||
|Hlanithian diminished | |Hlanithian diminished | ||
|AsLMLMLs | |AsLMLMLs | ||
| Line 3,585: | Line 3,596: | ||
| | | | ||
|- | |- | ||
|3 | |||
|Mnarian diminished* | |Mnarian diminished* | ||
|LMLMLsAs | |LMLMLsAs | ||
| Line 3,591: | Line 3,603: | ||
| | | | ||
|- | |- | ||
|2 | |||
|Celephaïsian diminished* | |Celephaïsian diminished* | ||
|LMLsAsLM | |LMLsAsLM | ||
| Line 3,597: | Line 3,610: | ||
| | | | ||
|- | |- | ||
|1 | |||
|Sarnathian diminished<sup>†</sup> | |Sarnathian diminished<sup>†</sup> | ||
|MLMLsAsL | |MLMLsAsL | ||
| Line 3,603: | Line 3,617: | ||
|10:12:15 on the root | |10:12:15 on the root | ||
|- | |- | ||
| -1 | |||
|Dylathian diminished* | |Dylathian diminished* | ||
|LsAsLMLM | |LsAsLMLM | ||
| Line 3,609: | Line 3,624: | ||
| | | | ||
|- | |- | ||
| -2 | |||
|Kadathian diminished*<sup>††</sup> | |Kadathian diminished*<sup>††</sup> | ||
|MLsAsLML | |MLsAsLML | ||
| Line 3,615: | Line 3,631: | ||
|root 4:5:6,10:12:15 | |root 4:5:6,10:12:15 | ||
|- | |- | ||
| -3 | |||
|Ultharian diminished*<sup>††</sup> | |Ultharian diminished*<sup>††</sup> | ||
|sAsLMLML | |sAsLMLML | ||
| Line 3,621: | Line 3,638: | ||
|root 4:5:6,10:12:15 | |root 4:5:6,10:12:15 | ||
|- | |- | ||
| -4 | |||
|Illarnekian diminished*<sup>†</sup> | |Illarnekian diminished*<sup>†</sup> | ||
|sLMLMLsA | |sLMLMLsA | ||
| Line 3,810: | Line 3,828: | ||
|+ | |+ | ||
Table 9.4. Intervals of modes of the Pinetone harmonic diminished | Table 9.4. Intervals of modes of the Pinetone harmonic diminished | ||
!Mode | !Mode (height order) | ||
!step | !step | ||
!2-step | !2-step | ||