Pinetone: Difference between revisions
m →Pinetone octatonic scales: reordered modes for tonic 3-step triads tables |
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| Line 1,125: | Line 1,125: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Modes of the just Pinetone major-harmonic octatonic | |+Modes of the just Pinetone major-harmonic octatonic | ||
!Mode in JI | !Mode in JI (height order) | ||
!Step pattern | !Step pattern | ||
!Porcupine[8] | !Porcupine[8] | ||
| Line 1,213: | Line 1,213: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Modes of the just Pinetone minor-harmonic octatonic | |+Modes of the just Pinetone minor-harmonic octatonic | ||
!Mode in JI | !Mode in JI (height order) | ||
!Step pattern | !Step pattern | ||
!Porcupine[8] | !Porcupine[8] | ||
| Line 1,306: | Line 1,306: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Modes of the ptolemismic Pinetone major-harmonic octatonic | |+Modes of the ptolemismic Pinetone major-harmonic octatonic | ||
! | !Mode (height order) | ||
!Step pattern | !Step pattern | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
| Line 1,362: | Line 1,362: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Modes of the ptolemismic Pinetone minor-harmonic octatonic | |+Modes of the ptolemismic Pinetone minor-harmonic octatonic | ||
! | !Mode (height order) | ||
!Step pattern | !Step pattern | ||
!Mode as simplest JI pre-image | !Mode as simplest JI pre-image | ||
| Line 1,694: | Line 1,694: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+3-step stacked triads of the Pinetone major-harmonic octatonic (G♯-G gamut) | |+3-step stacked triads of the Pinetone major-harmonic octatonic (G♯-G gamut) | ||
!Mode | !Mode (rotational order) | ||
!Step pattern | !Step pattern | ||
!3-step stacked triad on root | !3-step stacked triad on root | ||
| Line 1,701: | Line 1,701: | ||
!Pinetone octatonic name | !Pinetone octatonic name | ||
!JI triad approximated* | !JI triad approximated* | ||
|- | |||
|Sarnathian bright quartal | |||
|MLMLLMLs | |||
|G♯-C-F | |||
|[8] minor diminished | |||
|[8] augmented | |||
|[8] minor augmented | |||
|30:39:52 (7:9:12, 16:21:28) | |||
|- | |- | ||
|Celephaïsian dark quartal | |Celephaïsian dark quartal | ||
| Line 1,710: | Line 1,718: | ||
|9:12:16 | |9:12:16 | ||
|- | |- | ||
| | |Kadathian bright major | ||
|MLLMLsML | |||
|B-E-G♯ | |||
| | |||
| | |||
|[8] perfect | |[8] perfect | ||
|[8] major | |[8] major | ||
| Line 1,726: | Line 1,726: | ||
|3:4:5 | |3:4:5 | ||
|- | |- | ||
| | |Dylathian middle major | ||
| | |LLMLsMLM | ||
| | |C-F-A | ||
|[8] perfect | |[8] perfect | ||
|[8] major | |[8] major | ||
| Line 1,741: | Line 1,741: | ||
|[8] major | |[8] major | ||
|3:4:5 | |3:4:5 | ||
|- | |||
| Hlanithian bright minor | |||
|MLsMLMLL | |||
|E-G♯-C | |||
|[8] major diminished | |||
|[8] minor | |||
|[8] diminished minor | |||
|8:10:13 | |||
|- | |- | ||
| Illarnekian middle minor | | Illarnekian middle minor | ||
| Line 1,749: | Line 1,757: | ||
|[8] minor | |[8] minor | ||
|12:15:20 | |12:15:20 | ||
|- | |- | ||
| Mnarian dark minor | | Mnarian dark minor | ||
| Line 1,769: | Line 1,769: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+3-step stacked triads of the Pinetone minor-harmonic octatonic (G-A♭ gamut) | |+3-step stacked triads of the Pinetone minor-harmonic octatonic (G-A♭ gamut) | ||
!Mode | !Mode (rotational order) | ||
!Step pattern | !Step pattern | ||
!3-step stacked triad on root | !3-step stacked triad on root | ||
| Line 1,784: | Line 1,784: | ||
|[8] augmented | |[8] augmented | ||
|9:12:16 | |9:12:16 | ||
|- | |||
|Hlanithian dark quartal | |||
|MLLMLMsL | |||
|B-E-A♭ | |||
|[8] major diminished | |||
|[8] augmented | |||
|[8] major augmented | |||
|15:20:26 (12:16:21) | |||
|- | |- | ||
|Illarnekian bright major | |Illarnekian bright major | ||
| Line 1,792: | Line 1,800: | ||
|[8] major | |[8] major | ||
|3:4:5 | |3:4:5 | ||
|- | |- | ||
|Mnarian middle major | |Mnarian middle major | ||
| Line 1,808: | Line 1,808: | ||
|[8] major | |[8] major | ||
|3:4:5 | |3:4:5 | ||
|- | |||
| Sarnathian dark major | |||
|MLMsLMLL | |||
|E-A♭-C | |||
|[8] minor diminished | |||
|[8] major | |||
|[8] diminished major | |||
|55:72:90 (16:21:26) | |||
|- | |- | ||
| Celephaïsian bright minor | | Celephaïsian bright minor | ||
| Line 1,816: | Line 1,824: | ||
|[8] minor | |[8] minor | ||
|12:15:20 | |12:15:20 | ||
|- | |- | ||
| Dylathian dark minor | | Dylathian dark minor | ||