Nicetone: Difference between revisions

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'''Nicetone''' (also known as the '''Zarlino pattern''' or '''Ptolemaic-Auric diatonic''') is a 7-note [[Maximum variety|Maximum variety 3]] scale with the step pattern 3L2M2S. Nicetone is a [[Chirality|chiral]] scale with left-handed (LmLsmLs) and right-handed (LmLsLms) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone.
'''Nicetone''' (also known as the '''Zarlino pattern''' or '''Ptolemaic-Auric diatonic''') is a 7-note [[Maximum variety|Maximum variety 3]] scale with the step pattern 3L 2m 2s. Nicetone is a [[Chirality|chiral]] scale with left-handed (LmLsmLs) and right-handed (LmLsLms) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone.


Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of 3L2M2S. It's also a subset of the 5L2M3S [[blackdye]] scale.
Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of 3L 2m 2s. It's also a subset of the 5L 2m 3s [[blackdye]] scale.


Nicetone is intermediate between the [[5L 2s]] diatonic scale and the [[3L 4s]] neutral scale.
Nicetone is intermediate between the [[5L 2s]] diatonic scale and the [[3L 4s]] neutral scale.


Nicetone can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[9/8]], M represents [[10/9]], and S represents [[16/15]].
Nicetone can be tuned as a [[5-limit]] JI scale or a tempered version thereof, where L represents [[9/8]], m represents [[10/9]], and s represents [[16/15]].


{| class="wikitable"
{| class="wikitable"
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! Name !! Structure !! Step Sizes !! Graphical Representation
! Name !! Structure !! Step Sizes !! Graphical Representation
|-
|-
| Mosh || 3L4s || 7\41, 5\41 || ├──────┼────┼────┼──────┼────┼──────┼────┤
| Mosh || 3L 4s || 7\41, 5\41 || ├──────┼────┼────┼──────┼────┼──────┼────┤
|-
|-
| Nicetone || 3L2m2s || 7\41, 6\41, 4\41 || ├──────┼─────┼───┼──────┼─────┼──────┼───┤
| Nicetone || 3L 2m 2s || 7\41, 6\41, 4\41 || ├──────┼─────┼───┼──────┼─────┼──────┼───┤
|-
|-
| Diatonic || 5L2s || 7\41, 3\41 || ├──────┼──────┼──┼──────┼──────┼──────┼──┤
| Diatonic || 5L 2s || 7\41, 3\41 || ├──────┼──────┼──┼──────┼──────┼──────┼──┤
|}
|}


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! Name !! Structure !! Step Sizes !! Graphical Representation
! Name !! Structure !! Step Sizes !! Graphical Representation
|-
|-
| Mosh || 3L4s || 7\33, 3\33 || ├──┼──────┼──┼──────┼──┼──┼──────┤
| Mosh || 3L 4s || 7\33, 3\33 || ├──┼──────┼──┼──────┼──┼──┼──────┤
|-
|-
| Nicetone || 3L2m2s || 7\33, 4\33, 2\33 || ├───┼──────┼─┼──────┼───┼─┼──────┤
| Nicetone || 3L 2m 2s || 7\33, 4\33, 2\33 || ├───┼──────┼─┼──────┼───┼─┼──────┤
|-
|-
| Antipentic || 3L2s || 7\33, 6\33 || ├─────┼──────╫──────┼─────╫──────┤
| Antipentic || 3L 2s || 7\33, 6\33 || ├─────┼──────╫──────┼─────╫──────┤
|}
|}


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! [[41edo]] <br>(L:m:s = 7:6:4)
! [[41edo]] <br>(L:m:s = 7:6:4)
|- bgcolor="#eaeaff"
|- bgcolor="#eaeaff"
!rowspan=3|Second <br>[[TAMNAMS|1-step]]
!rowspan=3|Second <br>([[TAMNAMS|1-step]])
!| <small>small</small>
!| <small>small</small>
| s
| s
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| 7\41, 204.88¢
| 7\41, 204.88¢
|-
|-
!rowspan=3|Third <br>[[TAMNAMS|2-step]]
!rowspan=3|Third <br>([[TAMNAMS|2-step]])
!|<small>small</small>
!|<small>small</small>
| m + s
| m + s
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| 13\41, 380.49¢
| 13\41, 380.49¢
|- bgcolor="#eaeaff"
|- bgcolor="#eaeaff"
!rowspan=3|Fourth <br>[[TAMNAMS|3-step]]
!rowspan=3|Fourth <br>([[TAMNAMS|3-step]])
!|<small>small</small>
!|<small>small</small>
| L + m + s
| L + m + s
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| 20\41, 585.37¢
| 20\41, 585.37¢
|-
|-
!rowspan=3|Fifth <br>[[TAMNAMS|4-step]]
!rowspan=3|Fifth <br>([[TAMNAMS|4-step]])
!|<small>small</small>
!|<small>small</small>
| L + m + 2s
| L + m + 2s
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| 24\41, 702.44¢
| 24\41, 702.44¢
|- bgcolor="#eaeaff"
|- bgcolor="#eaeaff"
!rowspan=3|Sixth <br>[[TAMNAMS|5-step]]
!rowspan=3|Sixth <br>([[TAMNAMS|5-step]])
!|<small>small</small>
!|<small>small</small>
| 2L + m + 2s
| 2L + m + 2s
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| 31\41, 907.32¢
| 31\41, 907.32¢
|-
|-
!rowspan=3|Seventh <br>[[TAMNAMS|1-step]]
!rowspan=3|Seventh <br>([[TAMNAMS|6-step]])
!| <small>small</small>
!| <small>small</small>
| 2L + 2m + 2s
| 2L + 2m + 2s
Line 167: Line 167:
!Right handed
!Right handed
|-
|-
|LMLSMLS
|LmLsmLs
LH NiceLydian
LH NiceLydian
|LMLSLMS
|LmLsLms
RH NiceLydian
RH NiceLydian
|-
|-
|MLSLMLS
|mLsLmLs
LH NiceIonian
LH NiceIonian
|LMSLMLS
|LmsLmLs
RH NiceIonian
RH NiceIonian
|-
|-
|MLSMLSL
|mLsmLsL
LH NiceMixo
LH NiceMixo
|MLSLMSL
|mLsLmsL
RH NiceMixo
RH NiceMixo
|-
|-
|LSLMLSM
|LsLmLsm
LH NiceDorian
LH NiceDorian
|MSLMLSL
|msLmLsL
RH NiceDorian
RH NiceDorian
|-
|-
|LSMLSLM
|LsmLsLm
LH NiceAolian
LH NiceAolian
|LSLMSLM
|LsLmsLm
RH NiceAolian
RH NiceAolian
|-
|-
|SLMLSML
|sLmLsmL
LH NicePhrygian
LH NicePhrygian
|SLMLSLM
|sLmLsLm
RH NicePhrygian
RH NicePhrygian
|-
|-
|SMLSLML
|smLsLmL
LH NiceLocrian
LH NiceLocrian
|SLMSLML
|sLmsLmL
RH NiceLocrian
RH NiceLocrian
|}
|}