8edf: Difference between revisions
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==Intervals== | ==Intervals== | ||
8EDF can be notated either using sesquitave notation (the notation repeats every period, i.e. [[Just fifth|just diatonic fifth]]), or using double sesquitave notation (the notation repeats every two periods, i.e. [[9/4|major diatonic ninth]], interpreting | 8EDF can be notated either using sesquitave notation (the notation repeats every period, i.e. [[Just fifth|just diatonic fifth]]), or using double sesquitave notation (the notation repeats every two periods, i.e. [[9/4|major diatonic ninth]], interpreting 16[[edIX]] as a tuning for the Natural and Harmonic Minor modes of Annapolis[6L 4s]). | ||
The naturals result from a [[semiwolf]] generator (~[[7/6]]). For sesquitave notation, letters A-E can be used. For double sesquitave notation, Greek numerals 1-10 can be used (Α,Β,Γ,Δ,Ε,Ϛ/Ϝ,Ζ,Η,Θ,Ι). | The naturals result from a [[semiwolf]] generator (~[[7/6]]). For sesquitave notation, letters A-E can be used. For double sesquitave notation, Greek numerals 1-10 can be used (Α,Β,Γ,Δ,Ε,Ϛ/Ϝ,Ζ,Η,Θ,Ι [J]). | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
!Scale | ! rowspan="2" |Scale degree | ||
!Cents | ! rowspan="2" |Cents value | ||
! colspan="3" |Approximate intervals | ! colspan="3" |Approximate intervals | ||
!Uranian | ! rowspan="2" |Uranian interval | ||
!Diatonic | ! rowspan="2" |Diatonic | ||
equivalent | |||
! colspan="2" |Notation | ! colspan="2" |Notation | ||
|- | |- | ||
!7-limit | !7-limit | ||
!11-limit | !11-limit | ||
!19-limit | !19-limit | ||
! | !Semiwolf | ||
! | !Annapolis[6L 4s] | ||
|- | |- | ||
|'''0''' | ! colspan="2" |'''0''' | ||
! colspan="3" |'''1''' | |||
|'''1''' | ! colspan="2" |'''unison''' | ||
! colspan="2" |'''A''' | |||
|'''unison''' | |||
|'''A | |||
|- | |- | ||
|1 | |1 | ||
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|min mos2nd | |min mos2nd | ||
|minor second | |minor second | ||
|A | ! colspan="2" |A# | ||
|- | |- | ||
|2 | |2 | ||
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|maj mos2nd | |maj mos2nd | ||
|major second | |major second | ||
|B | ! colspan="2" |B | ||
|- | |- | ||
|3 | |3 | ||
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|minor ninth | |minor ninth | ||
|E | |E | ||
| | |I (J) | ||
|- | |- | ||
|'''16''' | |'''16''' | ||
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|'''double sesquitave''' | |'''double sesquitave''' | ||
|'''major ninth''' | |'''major ninth''' | ||
|'''A | ! colspan="2" |'''A''' | ||
|} | |} | ||
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