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{{todo|add introduction}}
{{todo|add introduction}}


__FORCETOC__
== Theory ==


== Theory ==
{| class="wikitable center-all"
{| class="wikitable center-all"
! colspan="2" | <!-- empty cell -->
! colspan="2" | <!-- empty cell -->
Line 78: Line 77:


{| class="wikitable center-all right-2"
{| class="wikitable center-all right-2"
! rowspan="2" | Degree
! Degree
! rowspan="2" | Cents
! Cents
! colspan="6" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18
! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, <br> with major wider than minor
! rowspan="2" | 5L3s Notation
! colspan="3" | Up/down notation using the narrow 5th of 10\18, <br> with major narrower than minor
|-
! 5L3s Notation
! colspan="3" |with major wider than minor
! colspan="3" |with major narrower than minor
|-
|-
| 0
| 0
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| perfect unison
| perfect unison
| P1
| P1
P0
| D
| D
| perfect unison
| perfect unison
| P1
| P1
P0
| D
| D
| C
| C
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| 67
| 67
| up unison, downminor 2nd
| up unison, downminor 2nd
up unison, downminor 1st
| ^1, vm2
| ^1, vm2
^0, vm1
| ^D, vE
| ^D, vE
| up unison, downmajor 2nd
| up unison, downmajor 2nd
up unison, downmajor 1st
| ^1, vM2
| ^1, vM2
^0, vM1
| ^D, vE
| ^D, vE
| Db
| Db
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| 133
| 133
| minor 2nd
| minor 2nd
minor 1st
| m2
| m2
m1
| E
| E
| major 2nd
| major 2nd
major 1st
| M2
| M2
M1
| E
| E
| C#
| C#
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| 200
| 200
| mid 2nd
| mid 2nd
mid 1st
| ~2
| ~2
~1
| ^E
| ^E
| mid 2nd
| mid 2nd
mid 1st
| ~2
| ~2
~1
| ^E
| ^E
| D
| D
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| 267
| 267
| major 2nd, minor 3rd
| major 2nd, minor 3rd
major 1st, minor 2nd
| M2, m3
| M2, m3
M1, m2
| E#, Fb
| E#, Fb
| minor 2nd, major 3rd
| minor 2nd, major 3rd
minor 1st, major 2nd
| m2, M3
| m2, M3
m1, M2
| Eb, F#
| Eb, F#
| Eb
| Eb
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| 333
| 333
| mid 3rd
| mid 3rd
mid 2nd
| ~3
| ~3
~2
| vF
| vF
| mid 3rd
| mid 3rd
mid 2nd
| ~3
| ~3
~2
| vF
| vF
| D#
| D#
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| 400
| 400
| major 3rd
| major 3rd
major 2nd
| M3
| M3
M2
| F
| F
| minor 3rd
| minor 3rd
minor 2nd
| m3
| m3
m2
| F
| F
| E
| E
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| 467
| 467
| upmajor 3rd, down 4th
| upmajor 3rd, down 4th
upmajor 2nd, down 3rd
| ^M3, v4
| ^M3, v4
^M2, v3
| ^F, vG
| ^F, vG
| upminor 3rd, down 4th
| upminor 3rd, down 4th
upminor 2nd, down 3rd
| ^m3, v4
| ^m3, v4
^m2, v3
| ^F, vG
| ^F, vG
| F
| F
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| 533
| 533
| perfect 4th
| perfect 4th
perfect 3rd
| P4
| P4
P3
| G
| G
| perfect 4th
| perfect 4th
perfect 3rd
| P4
| P4
P3
| G
| G
| Gb
| Gb
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| 600
| 600
| up 4th, down 5th
| up 4th, down 5th
up 3rd, down 4th
| ^4, v5
| ^4, v5
^3, v4
| ^G, vA
| ^G, vA
| up 4th, down 5th
| up 4th, down 5th
up 3rd, down 4th
| ^4, v5
| ^4, v5
^3, v4
| ^G, vA
| ^G, vA
| F#
| F#
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| 667
| 667
| perfect 5th
| perfect 5th
perfect 4th
| P5
| P5
P4
| A
| A
| perfect 5th
| perfect 5th
perfect 4th
| P5
| P5
P4
| A
| A
| G
| G
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| 733
| 733
| up 5th, downminor 6th
| up 5th, downminor 6th
up 4th, downminor 5th
| ^5, vm6
| ^5, vm6
^4, vm5
| ^A, vB
| ^A, vB
| up 5th, downmajor 6th
| up fifth, downmajor 6th
up 4th, downmajor 5th
| ^5, vM6
| ^5, vM6
^4, vM5
| ^A, vB
| ^A, vB
| Hb
| Hb
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| 800
| 800
| minor 6th
| minor 6th
minor 5th
| m6
| m6
m5
| B
| B
| major 6th
| major 6th
major 5th
| M6
| M6
M5
| B
| B
| G#
| G#
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| 867
| 867
| mid 6th
| mid 6th
mid 5th
| ~6
| ~6
~5
| ^B
| ^B
| mid 6th
| mid 6th
mid 5th
| ~6
| ~6
~5
| ^B
| ^B
| H
| H
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| 933
| 933
| major 6th, minor 7th
| major 6th, minor 7th
major 5th, minor 6th
| M6, m7
| M6, m7
M5, m6
| B#, Cb
| B#, Cb
| minor 6th, major 7th
| minor 6th, major 7th
minor 5th, major 6th
| m6, M7
| m6, M7
m5, M6
| Bb, C#
| Bb, C#
| A
| A
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| 1000
| 1000
| mid 7th
| mid 7th
mid 6th
| ~7
| ~7
~6
| vC
| vC
| mid 7th
| mid 7th
mid 6th
| ~7
| ~7
~6
| vC
| vC
| Bb
| Bb
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| 1067
| 1067
| major 7th
| major 7th
major 6th
| M7
| M7
M6
| C
| C
| minor 7th
| minor 7th
minor 6th
| m7
| m7
m6
| C
| C
| A#
| A#
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| 1133
| 1133
| upmajor 7th, down 8ve
| upmajor 7th, down 8ve
upmajor 6th, down 7th
| ^M7, v8
| ^M7, v8
^M6, v7
| ^C, vD
| ^C, vD
| upminor 7th, down 8ve
| upminor 7th, down 8ve
upminor 6th, down 7th
| ^m7, v8
| ^m7, v8
^m6, v7
| ^C, vD
| ^C, vD
| B
| B
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| 1200
| 1200
| perfect 8ve
| perfect 8ve
perfect 7th
| P8
| P8
P7
| D
| D
| perfect 8ve
| perfect 8ve
perfect 7th
| P8
| P8
P7
| D
| D
| C
| C
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=== Heptatonic ===
=== Heptatonic ===
[[4L 3s]] [[Sixix]][7] (aka Mish Heptatonic): 3 2 3 2 3 3 2
[[4L 3s]] [[Sixix]][7] (aka Mish Heptatonic): 3 2 3 2 3 3 2


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=== Enneatonic ===
=== Enneatonic ===
[[3L 6s]] [[Augmented]][9]: 4 1 1 4 1 1 4 1 1
[[3L 6s]] [[Augmented]][9]: 4 1 1 4 1 1 4 1 1


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=== Pentadecatonic ===
=== Pentadecatonic ===
Pathological [[3L 9s|3L 12s]] [[Augmented]][15]: 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1
Pathological [[3L 9s|3L 12s]] [[Augmented]][15]: 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1


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== Approaches to 18edo ==
== Approaches to 18edo ==
*[[18edo/Inthar's approach]]
 
* [[18edo/Inthar's approach]]


== Music ==
== Music ==
Retrieved from "https://en.xen.wiki/w/18edo"