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| The second way preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 18edo "on the fly". | | The second way preserves the <u>harmonic</u> meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 18edo "on the fly". |
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| {| class="wikitable" | | {| class="wikitable" style="text-align:center" |
| |-
| | ! Degree |
| ! | Degree | | ! Cents |
| ! | Cents | | ! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, <br> |
| ! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, | |
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| |
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| with major wider than minor | | with major wider than minor |
| ! colspan="3" | Up/down notation using the narrow 5th of 10\18, | | ! colspan="3" | Up/down notation using the narrow 5th of 10\18, <br> |
|
| |
|
| with major narrower than minor | | with major narrower than minor |
| !5L3s Notation | | ! 5L3s Notation |
| |- | | |- |
| | style="text-align:center;" | 0
| | | 0 |
| | style="text-align:center;" | 0
| | | 0 |
| | style="text-align:center;" | perfect unison
| | | perfect unison |
| | style="text-align:center;" | P1
| | | P1 |
| | style="text-align:center;" | D
| | | D |
| | style="text-align:center;" | perfect unison
| | | perfect unison |
| | style="text-align:center;" | P1
| | | P1 |
| | style="text-align:center;" | D
| | | D |
| |C | | | C |
| |- | | |- |
| | style="text-align:center;" | 1
| | | 1 |
| | style="text-align:center;" | 67
| | | 67 |
| | style="text-align:center;" | up unison, downminor 2nd
| | | up unison, downminor 2nd |
| | style="text-align:center;" | ^1, vm2
| | | ^1, vm2 |
| | style="text-align:center;" | ^D, vE
| | | ^D, vE |
| | style="text-align:center;" | up unison, downmajor 2nd
| | | up unison, downmajor 2nd |
| | style="text-align:center;" | ^1, vM2
| | | ^1, vM2 |
| | style="text-align:center;" | ^D, vE
| | | ^D, vE |
| |Db | | | Db |
| |- | | |- |
| | style="text-align:center;" | 2
| | | 2 |
| | style="text-align:center;" | 133
| | | 133 |
| | style="text-align:center;" | minor 2nd
| | | minor 2nd |
| | style="text-align:center;" | m2
| | | m2 |
| | style="text-align:center;" | E
| | | E |
| | style="text-align:center;" | major 2nd
| | | major 2nd |
| | style="text-align:center;" | M2
| | | M2 |
| | style="text-align:center;" | E
| | | E |
| |C# | | | C# |
| |- | | |- |
| | style="text-align:center;" | 3
| | | 3 |
| | style="text-align:center;" | 200
| | | 200 |
| | style="text-align:center;" | mid 2nd
| | | mid 2nd |
| | style="text-align:center;" | ~2
| | | ~2 |
| | style="text-align:center;" | ^E
| | | ^E |
| | style="text-align:center;" | mid 2nd
| | | mid 2nd |
| | style="text-align:center;" | ~2
| | | ~2 |
| | style="text-align:center;" | ^E
| | | ^E |
| |D | | | D |
| |- | | |- |
| | style="text-align:center;" | 4
| | | 4 |
| | style="text-align:center;" | 267
| | | 267 |
| | style="text-align:center;" | major 2nd, minor 3rd
| | | major 2nd, minor 3rd |
| | style="text-align:center;" | M2, m3
| | | M2, m3 |
| | style="text-align:center;" | E#, Fb
| | | E#, Fb |
| | style="text-align:center;" | minor 2nd, major 3rd
| | | minor 2nd, major 3rd |
| | style="text-align:center;" | m2, M3
| | | m2, M3 |
| | style="text-align:center;" | Eb, F#
| | | Eb, F# |
| |Eb | | | Eb |
| |- | | |- |
| | style="text-align:center;" | 5
| | | 5 |
| | style="text-align:center;" | 333
| | | 333 |
| | style="text-align:center;" | mid 3rd
| | | mid 3rd |
| | style="text-align:center;" | ~3
| | | ~3 |
| | style="text-align:center;" | vF
| | | vF |
| | style="text-align:center;" | mid 3rd
| | | mid 3rd |
| | style="text-align:center;" | ~3
| | | ~3 |
| | style="text-align:center;" | vF
| | | vF |
| |D# | | | D# |
| |- | | |- |
| | style="text-align:center;" | 6
| | | 6 |
| | style="text-align:center;" | 400
| | | 400 |
| | style="text-align:center;" | major 3rd
| | | major 3rd |
| | style="text-align:center;" | M3
| | | M3 |
| | style="text-align:center;" | F
| | | F |
| | style="text-align:center;" | minor 3rd
| | | minor 3rd |
| | style="text-align:center;" | m3
| | | m3 |
| | style="text-align:center;" | F
| | | F |
| |E | | | E |
| |- | | |- |
| | style="text-align:center;" | 7
| | | 7 |
| | style="text-align:center;" | 467
| | | 467 |
| | style="text-align:center;" | upmajor 3rd, down 4th
| | | upmajor 3rd, down 4th |
| | style="text-align:center;" | ^M3, v4
| | | ^M3, v4 |
| | style="text-align:center;" | ^F, vG
| | | ^F, vG |
| | style="text-align:center;" | upminor 3rd, down 4th
| | | upminor 3rd, down 4th |
| | style="text-align:center;" | ^m3, v4
| | | ^m3, v4 |
| | style="text-align:center;" | ^F, vG
| | | ^F, vG |
| |F | | | F |
| |- | | |- |
| | style="text-align:center;" | 8
| | | 8 |
| | style="text-align:center;" | 533
| | | 533 |
| | style="text-align:center;" | perfect 4th
| | | perfect 4th |
| | style="text-align:center;" | P4
| | | P4 |
| | style="text-align:center;" | G
| | | G |
| | style="text-align:center;" | perfect 4th
| | | perfect 4th |
| | style="text-align:center;" | P4
| | | P4 |
| | style="text-align:center;" | G
| | | G |
| |Gb | | | Gb |
| |- | | |- |
| | style="text-align:center;" | 9
| | | 9 |
| | style="text-align:center;" | 600
| | | 600 |
| | style="text-align:center;" | up 4th, down 5th
| | | up 4th, down 5th |
| | style="text-align:center;" | ^4, v5
| | | ^4, v5 |
| | style="text-align:center;" | ^G, vA
| | | ^G, vA |
| | style="text-align:center;" | up 4th, down 5th
| | | up 4th, down 5th |
| | style="text-align:center;" | ^4, v5
| | | ^4, v5 |
| | style="text-align:center;" | ^G, vA
| | | ^G, vA |
| |F# | | | F# |
| |- | | |- |
| | style="text-align:center;" | 10
| | | 10 |
| | style="text-align:center;" | 667
| | | 667 |
| | style="text-align:center;" | perfect 5th
| | | perfect 5th |
| | style="text-align:center;" | P5
| | | P5 |
| | style="text-align:center;" | A
| | | A |
| | style="text-align:center;" | perfect 5th
| | | perfect 5th |
| | style="text-align:center;" | P5
| | | P5 |
| | style="text-align:center;" | A
| | | A |
| |G | | | G |
| |- | | |- |
| | style="text-align:center;" | 11
| | | 11 |
| | style="text-align:center;" | 733
| | | 733 |
| | style="text-align:center;" | up 5th, downminor 6th
| | | up 5th, downminor 6th |
| | style="text-align:center;" | ^5, vm6
| | | ^5, vm6 |
| | style="text-align:center;" | ^A, vB
| | | ^A, vB |
| | style="text-align:center;" | up fifth, downmajor 6th
| | | up fifth, downmajor 6th |
| | style="text-align:center;" | ^5, vM6
| | | ^5, vM6 |
| | style="text-align:center;" | ^A, vB
| | | ^A, vB |
| |Hb | | | Hb |
| |- | | |- |
| | style="text-align:center;" | 12
| | | 12 |
| | style="text-align:center;" | 800
| | | 800 |
| | style="text-align:center;" | minor 6th
| | | minor 6th |
| | style="text-align:center;" | m6
| | | m6 |
| | style="text-align:center;" | B
| | | B |
| | style="text-align:center;" | major 6th
| | | major 6th |
| | style="text-align:center;" | M6
| | | M6 |
| | style="text-align:center;" | B
| | | B |
| |G# | | | G# |
| |- | | |- |
| | style="text-align:center;" | 13
| | | 13 |
| | style="text-align:center;" | 867
| | | 867 |
| | style="text-align:center;" | mid 6th
| | | mid 6th |
| | style="text-align:center;" | ~6
| | | ~6 |
| | style="text-align:center;" | ^B
| | | ^B |
| | style="text-align:center;" | mid 6th
| | | mid 6th |
| | style="text-align:center;" | ~6
| | | ~6 |
| | style="text-align:center;" | ^B
| | | ^B |
| |H | | | H |
| |- | | |- |
| | style="text-align:center;" | 14
| | | 14 |
| | style="text-align:center;" | 933
| | | 933 |
| | style="text-align:center;" | major 6th, minor 7th
| | | major 6th, minor 7th |
| | style="text-align:center;" | M6, m7
| | | M6, m7 |
| | style="text-align:center;" | B#, Cb
| | | B#, Cb |
| | style="text-align:center;" | minor 6th, major 7th
| | | minor 6th, major 7th |
| | style="text-align:center;" | m6, M7
| | | m6, M7 |
| | style="text-align:center;" | Bb, C#
| | | Bb, C# |
| |A | | | A |
| |- | | |- |
| | style="text-align:center;" | 15
| | | 15 |
| | style="text-align:center;" | 1000
| | | 1000 |
| | style="text-align:center;" | mid 7th
| | | mid 7th |
| | style="text-align:center;" | ~7
| | | ~7 |
| | style="text-align:center;" | vC
| | | vC |
| | style="text-align:center;" | mid 7th
| | | mid 7th |
| | style="text-align:center;" | ~7
| | | ~7 |
| | style="text-align:center;" | vC
| | | vC |
| |Bb | | | Bb |
| |- | | |- |
| | style="text-align:center;" | 16
| | | 16 |
| | style="text-align:center;" | 1067
| | | 1067 |
| | style="text-align:center;" | major 7th
| | | major 7th |
| | style="text-align:center;" | M7
| | | M7 |
| | style="text-align:center;" | C
| | | C |
| | style="text-align:center;" | minor 7th
| | | minor 7th |
| | style="text-align:center;" | m7
| | | m7 |
| | style="text-align:center;" | C
| | | C |
| |A# | | | A# |
| |- | | |- |
| | style="text-align:center;" | 17
| | | 17 |
| | style="text-align:center;" | 1133
| | | 1133 |
| | style="text-align:center;" | upmajor 7th, down 8ve
| | | upmajor 7th, down 8ve |
| | style="text-align:center;" | ^M7, v8
| | | ^M7, v8 |
| | style="text-align:center;" | ^C, vD
| | | ^C, vD |
| | style="text-align:center;" | upminor 7th, down 8ve
| | | upminor 7th, down 8ve |
| | style="text-align:center;" | ^m7, v8
| | | ^m7, v8 |
| | style="text-align:center;" | ^C, vD
| | | ^C, vD |
| |B | | | B |
| |- | | |- |
| | style="text-align:center;" | 18
| | | 18 |
| | style="text-align:center;" | 1200
| | | 1200 |
| | style="text-align:center;" | perfect 8ve
| | | perfect 8ve |
| | style="text-align:center;" | P8
| | | P8 |
| | style="text-align:center;" | D
| | | D |
| | style="text-align:center;" | perfect 8ve
| | | perfect 8ve |
| | style="text-align:center;" | P8
| | | P8 |
| | style="text-align:center;" | D
| | | D |
| |C | | | C |
| |} | | |} |
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