Pinetone: Difference between revisions
→The porcutone pentatonic and the porcutone chromatic: added intervals table, added to Porcupine[8] and Father[8] tables |
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| Line 640: | Line 640: | ||
!UDP | !UDP | ||
!Mode name | !Mode name | ||
!3-step stacked triad on root (with | !3-step stacked triad on root (with G♯) | ||
!(with A♭ = H) | !(with A♭ = H) | ||
!JI triad approximated | !JI triad approximated | ||
| Line 648: | Line 648: | ||
|<nowiki>7|0</nowiki> | |<nowiki>7|0</nowiki> | ||
|Bright quartal | |Bright quartal | ||
| | |G♯-C-F | ||
|A-D-G | |A-D-G | ||
|9:12:16 | |9:12:16 | ||
| Line 664: | Line 664: | ||
|<nowiki>5|2</nowiki> | |<nowiki>5|2</nowiki> | ||
|Bright major | |Bright major | ||
|B-E- | |B-E-G♯ | ||
|C-F-A | |C-F-A | ||
|3:4:5 | |3:4:5 | ||
| Line 688: | Line 688: | ||
|<nowiki>2|5</nowiki> | |<nowiki>2|5</nowiki> | ||
|Bright minor | |Bright minor | ||
|E- | |E-G♯-C | ||
|F-A-D | |F-A-D | ||
|12:15:20 | |12:15:20 | ||
| Line 1,030: | Line 1,030: | ||
|} | |} | ||
{| class="wikitable" | {| class="wikitable" | ||
|+3-step stacked triads of the | |+3-step stacked triads of the left handed porcutone octatonic (G♯-G gamut) | ||
!Mode name | !Mode name | ||
!Step pattern | !Step pattern | ||
| Line 1,043: | Line 1,043: | ||
|Sarnathian bright quartal | |Sarnathian bright quartal | ||
|MLMLLMLs | |MLMLLMLs | ||
| | |G♯-C-F | ||
|30:39:52 (7:9:12 Thrasher, 16:21:28 Supermagic) | |30:39:52 (7:9:12 Thrasher, 16:21:28 Supermagic) | ||
|- | |- | ||
|Dylathian middle major | |Dylathian middle major | ||
|LLMLsMLM | |LLMLsMLM | ||
|B-E- | |B-E-G♯ | ||
|3:4:5 | |3:4:5 | ||
|- | |- | ||
| Line 1,068: | Line 1,068: | ||
| Hlanithian bright minor | | Hlanithian bright minor | ||
|MLsMLMLL | |MLsMLMLL | ||
|E- | |E-G♯-C | ||
|8:10:13 | |8:10:13 | ||
|- | |- | ||
| Line 1,263: | Line 1,263: | ||
The Porcutone system is built via step nesting from the 5-limit minor seventh tetrad: 6/5 3/2 9/5 2/1. It's a 12-note rank-3 [[Meantone]][12] x [[Ripple]][12] [[Fokker block]], a [[step-nested scale]] that also tempers to [[Porcupine]][8], comprising a diatonic [[Meantone]][7]-[[Porcupine]][7]-[[Dicot]][7] [[wakalix]] / 3-[[Step-nested scale|SNS]] on the white keys, and a pentatonic [[Meantone]][5]-[[Father]][5]-[[Bug]][5] [[wakalix]] on the 'black' keys. | The Porcutone system is built via step nesting from the 5-limit minor seventh tetrad: 6/5 3/2 9/5 2/1. It's a 12-note rank-3 [[Meantone]][12] x [[Ripple]][12] [[Fokker block]], a [[step-nested scale]] that also tempers to [[Porcupine]][8], comprising a diatonic [[Meantone]][7]-[[Porcupine]][7]-[[Dicot]][7] [[wakalix]] / 3-[[Step-nested scale|SNS]] on the white keys, and a pentatonic [[Meantone]][5]-[[Father]][5]-[[Bug]][5] [[wakalix]] on the 'black' keys. | ||
For the accompanying mapping for the Lumatone keyboard the | For the accompanying mapping for the Lumatone keyboard the G♯ / A♭ key is coloured pink (and the remaining chromatic keys blue), and along with the white keys makes a [[Porcupine]][8] / [[Father]][8] [[Fokker block]] (any colours could be chosen instead of white, pink, and blue). | ||
The Porcutone diatonic is a [[wakalix]] (pairwise well-formed scale) and a [[step-nested scale]]: A detempering of [[Meantone]][7] and [[Porcupine]][7], (and also of [[Dicot]][7]), a [[Fokker block]] with [[Unison vector|unison vectors]] of [[81/80]] and [[250/243]] (and [[25/24]]) has 1 large step of 9/8 (L x L), 3 medium steps of 10/9 (L x s), and 3 small steps of 27/25 (s x s). | The Porcutone diatonic is a [[wakalix]] (pairwise well-formed scale) and a [[step-nested scale]]: A detempering of [[Meantone]][7] and [[Porcupine]][7], (and also of [[Dicot]][7]), a [[Fokker block]] with [[Unison vector|unison vectors]] of [[81/80]] and [[250/243]] (and [[25/24]]) has 1 large step of 9/8 (L x L), 3 medium steps of 10/9 (L x s), and 3 small steps of 27/25 (s x s). | ||