Blackdye: Difference between revisions

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'''Blackdye''' is a 10-note [[AG]] scale with step pattern 5L 2M 3S (SLMLSLMLSL), equivalent to the [[5L 5s]] mos with two of the small steps made larger and the other three made smaller. Unlike [[diasem]], another diatonic-based scale with comma steps, blackdye is not [[chirality|chiral]]. It can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[10/9]], M represents [[16/15]], and S represents [[81/80]]. The scale can be generated by an alternating chain of minor thirds and major thirds. Blackdye can be used in 5-limit edos that do not temper out [[81/80]], such as [[22edo]] and [[34edo]].
'''Blackdye''' is a 10-note [[AG]], [[Maximum variety|MV4]] scale with step pattern 5L 2M 3S (SLMLSLMLSL), equivalent to the [[5L 5s]] mos with two of the small steps made larger and the other three made smaller. Unlike [[diasem]], another diatonic-based scale with comma steps, blackdye is not [[chirality|chiral]]. It can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[10/9]], M represents [[16/15]], and S represents [[81/80]]. The scale can be generated by an alternating chain of minor thirds and major thirds. Blackdye can be used in 5-limit edos that do not temper out [[81/80]], such as [[22edo]] and [[34edo]].


"Blackdye" is a name given by [[User:ks26|ks26]]. The name is a pun on "blackwood" and "diatonic" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[blackwood]][10] ([[5L 5s]]).
"Blackdye" is a name given by [[User:ks26|ks26]]. The name is a pun on "blackwood" and "diatonic" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[blackwood]][10] ([[5L 5s]]).
== Modes ==
The modes arranged in cyclic order:
{| class="wikitable"
|-
! style="text-align:center;" |Pattern
! style="text-align:center;" |Name
|-
| | SLMLSLMLSL
| | Blackdye Bright Aeolian
|-
| | LMLSLMLSLS
| | Blackdye Dark Aeolian
|-
| | MLSLMLSLSL
| | Blackdye Locrian
|-
| | LSLMLSLSLM
| | Blackdye Ionian
|-
| | SLMLSLSLML
| | Blackdye Bright Dorian
|-
| | LMLSLSLMLS
| | Blackdye Dark Dorian
|-
| | MLSLSLMLSL
| | Blackdye Phrygian
|-
| | LSLSLMLSLM
| | Blackdye Lydian
|-
| | SLSLMLSLML
| | Blackdye Bright Mixo
|-
| | LSLMLSLMLS
| | Blackdye Dark Mixo
|}
== Properties ==
== Properties ==
# The fifth (3L + M + 2S) of blackdye must be a diatonic fifth.  
# The fifth (3L + M + 2S) of blackdye must be a diatonic fifth.