Pinetone: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
Line 2,549: Line 2,549:
!Mode name
!Mode name
!Step pattern
!Step pattern
!Triad qualities
!Position of consonances
!Diminished[8] name
!Diminished[8] name
!Porcupine[8] name
!Porcupine[8] name
Line 2,557: Line 2,557:
|Hlanithian diminished
|Hlanithian diminished
|AsLMLMLs
|AsLMLMLs
|
|ii III V vi VII viii
|[8] major
|[8] major
|[8] augmented
|[8] augmented
Line 2,565: Line 2,565:
|Mnarian diminished
|Mnarian diminished
|LMLMLsAs
|LMLMLsAs
|
|I III iv V vi viii
|[8] major
|[8] major
|[8] major
|[8] major
Line 2,573: Line 2,573:
|Celephaïsian diminished
|Celephaïsian diminished
|LMLsAsLM
|LMLsAsLM
|
|I ii III iv vi VII
|[8] major
|[8] major
|[8] major
|[8] major
Line 2,581: Line 2,581:
|Dylathian diminished
|Dylathian diminished
|LsAsLMLM
|LsAsLMLM
|
|I ii iv V VII viii
|[8] major
|[8] major
|[8] major
|[8] major
Line 2,589: Line 2,589:
| Sarnathian diminished
| Sarnathian diminished
|MLMLsAsL
|MLMLsAsL
|
|II iii IV v vii VIII
|[8] minor
|[8] minor
|[8] augmented
|[8] augmented
Line 2,597: Line 2,597:
| Kadathian diminished
| Kadathian diminished
|MLsAsLML
|MLsAsLML
|
|i II iii v VI VIII
|[8] minor
|[8] minor
|[8] minor
|[8] minor
Line 2,605: Line 2,605:
| Ultharian diminished
| Ultharian diminished
|sAsLMLML
|sAsLMLML
|
|i II IV v VI vii
|[8] minor
|[8] minor
|[8] minor
|[8] minor
Line 2,613: Line 2,613:
| Illarnekian diminished
| Illarnekian diminished
|sLMLMLsA
|sLMLMLsA
|
|i II IV v VI vii
|[8] minor
|[8] minor
|[8] minor
|[8] minor
Line 2,619: Line 2,619:
|12:15:20
|12:15:20
|}
|}
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Pinetone; bracketed JI ratios are the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 as in Supermagic temperament.
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Pinetone; bracketed JI ratios are the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 as in Supermagic temperament. Alternatively, if the consonances of the triads are to be maximised, the scale could be tempered to 2.3.5.7 245/243 i.e., Sensamagic temperament.


== Comma pump ==
== Comma pump ==