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Line 27: Line 27:


== Intervals ==
== Intervals ==
{| class="wikitable center-all right-2 left-3"
{| class="wikitable center-1 right-2"
|-
|-
! #
! #
! Cents
! Cents
! Approximate ratios<ref group="note">{{sg|27et|limit=2.3.5.7.13.19-[[subgroup]]}}</ref>
! Approximate ratios<ref group="note">{{sg|27et|limit=2.3.5.7.13.19-[[subgroup]]}}</ref>
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>4</sup>A1 and vm2)
! [[Interval region]]s
! [[Interval region]]s
! colspan="2" | [[Solfege]]s
|-
|-
| 0
| 0
| 0.0
| 0.0
| [[1/1]]
| [[1/1]]
| unison
|-
| 1
| 44.4
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], ''[[81/80]]''
| diesis
|-
| 2
| 88.9
| ''[[16/15]]'', [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| minor second
|-
| 3
| 133.3
| [[15/14]], [[14/13]], [[13/12]]
| neutral second
|-
| 4
| 177.8
| [[10/9]]
| small major second
|-
| 5
| 222.2
| [[8/7]], [[9/8]]
| large major second
|-
| 6
| 266.7
| [[7/6]]
| subminor third
|-
| 7
| 311.1
| [[6/5]], [[19/16]]
| minor third
|-
| 8
| 355.6
| [[16/13]]
| neutral third
|-
| 9
| 400.0
| [[5/4]], [[24/19]]
| major third
|-
| 10
| 444.4
| [[9/7]], [[13/10]]
| supermajor third
|-
| 11
| 488.9
| [[4/3]]
| fourth
|-
| 12
| 533.3
| [[19/14]], [[26/19]], [[27/20]], [[48/35]]
| superfourth
|-
| 13
| 577.8
| [[7/5]], [[18/13]]
| small tritone
|-
| 14
| 622.2
| [[10/7]], [[13/9]]
| large tritone
|-
| 15
| 666.7
| [[19/13]], [[28/19]], [[35/24]], [[40/27]]
| subfifth
|-
| 16
| 711.1
| [[3/2]]
| fifth
|-
| 17
| 755.6
| [[14/9]], [[20/13]]
| subminor sixth
|-
| 18
| 800.0
| [[8/5]], [[19/12]]
| minor sixth
|-
| 19
| 844.4
| [[13/8]]
| neutral sixth
|-
| 20
| 888.9
| [[5/3]], [[32/19]]
| major sixth
|-
| 21
| 933.3
| [[12/7]]
| supermajor sixth
|-
| 22
| 977.8
| [[7/4]], [[16/9]]
| harmonic seventh
|-
| 23
| 1022.2
| [[9/5]]
| large minor seventh
|-
| 24
| 1066.7
| [[13/7]], [[24/13]], [[28/15]]
| neutral seventh
|-
| 25
| 1111.1
| ''[[15/8]]'', [[19/10]], [[36/19]], [[40/21]], [[48/25]]
| major seventh
|-
| 26
| 1155.6
| [[27/14]], [[35/18]], [[49/25]], [[96/49]], ''[[160/81]]''
| supermajor seventh
|-
| 27
| 1200.0
| [[2/1]]
| octave
|}
<references group="note" />
=== Proposed interval names and solfèges ===
{| class="wikitable center-all right-2 left-4 mw-collapsible mw-collapsed"
|+ style="white-space: nowrap;" | Table of proposed interval names and solfèges
|-
! #
! Cents
! colspan="3" | [[Kite's ups and downs notation|Ups and downs notation]]<br>([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>4</sup>A1 and vm2)
! colspan="2" | [[Solfège]]s
|-
| 0
| 0.0
| P1
| P1
| perfect unison
| perfect unison
| D
| D
| unison
| da
| da
| do
| do
Line 48: Line 196:
| 1
| 1
| 44.4
| 44.4
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], ''[[81/80]]''
| ^1, m2
| ^1, m2
| up unison, minor 2nd
| up unison, minor 2nd
| ^D, Eb
| ^D, Eb
| diesis
| fra
| fra
| di
| di
Line 58: Line 204:
| 2
| 2
| 88.9
| 88.9
| ''[[16/15]]'', [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| ^^1, ^m2
| ^^1, ^m2
| dup unison, upminor 2nd
| dup unison, upminor 2nd
| ^^D, ^Eb
| ^^D, ^Eb
| minor second
| fru
| fru
| ra
| ra
Line 68: Line 212:
| 3
| 3
| 133.3
| 133.3
| [[15/14]], [[14/13]], [[13/12]]
| vA1, ~2
| vA1, ~2
| downaug 1sn, mid 2nd
| downaug 1sn, mid 2nd
| vD#, vvE
| vD#, vvE
| neutral second
| ri
| ri
| ru
| ru
Line 78: Line 220:
| 4
| 4
| 177.8
| 177.8
| [[10/9]]
| A1, vM2
| A1, vM2
| aug 1sn, downmajor 2nd
| aug 1sn, downmajor 2nd
| D#, vE
| D#, vE
| small major second
| ro
| ro
| reh
| reh
Line 88: Line 228:
| 5
| 5
| 222.2
| 222.2
| [[8/7]], [[9/8]]
| M2
| M2
| major 2nd
| major 2nd
| E
| E
| large major second
| ra
| ra
| re
| re
Line 98: Line 236:
| 6
| 6
| 266.7
| 266.7
| [[7/6]]
| m3
| m3
| minor 3rd
| minor 3rd
| F
| F
| subminor third
| na
| na
| ma
| ma
Line 108: Line 244:
| 7
| 7
| 311.1
| 311.1
| [[6/5]], [[19/16]]
| ^m3
| ^m3
| upminor 3rd
| upminor 3rd
| Gb
| Gb
| minor third
| nu
| nu
| me
| me
Line 118: Line 252:
| 8
| 8
| 355.6
| 355.6
| [[16/13]]
| ~3
| ~3
| mid 3rd
| mid 3rd
| ^Gb
| ^Gb
| neutral third
| mi
| mi
| mu
| mu
Line 128: Line 260:
| 9
| 9
| 400.0
| 400.0
| [[5/4]], [[24/19]]
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
| vF#
| vF#
| major third
| mo
| mo
| mi
| mi
Line 138: Line 268:
| 10
| 10
| 444.4
| 444.4
| [[9/7]], [[13/10]]
| M3
| M3
| major 3rd
| major 3rd
| F#
| F#
| supermajor third
| ma
| ma
| mo
| mo
Line 148: Line 276:
| 11
| 11
| 488.9
| 488.9
| [[4/3]]
| P4
| P4
| perfect 4th
| perfect 4th
| G
| G
| fourth
| fa
| fa
| fa
| fa
Line 158: Line 284:
| 12
| 12
| 533.3
| 533.3
| [[19/14]], [[26/19]], [[27/20]], [[48/35]]
| ^4
| ^4
| up 4th
| up 4th
| Ab
| Ab
| superfourth
| fu/sha
| fu/sha
| fih
| fih
Line 168: Line 292:
| 13
| 13
| 577.8
| 577.8
| [[7/5]], [[18/13]]
| ~4, ^d5
| ~4, ^d5
| mid 4th, updim 5th
| mid 4th, updim 5th
| ^^G, ^Ab
| ^^G, ^Ab
| small tritone
| fi/shu
| fi/shu
| fi
| fi
Line 178: Line 300:
| 14
| 14
| 622.2
| 622.2
| [[10/7]], [[13/9]]
| vA4, ~5
| vA4, ~5
| downaug 4th, mid 5th
| downaug 4th, mid 5th
| vG#, vvA
| vG#, vvA
| large tritone
| po/si
| po/si
| se
| se
Line 188: Line 308:
| 15
| 15
| 666.7
| 666.7
| [[19/13]], [[28/19]], [[35/24]], [[40/27]]
| v5
| v5
| down fifth
| down fifth
| G#
| G#
| subfifth
| pa/so
| pa/so
| sih
| sih
Line 198: Line 316:
| 16
| 16
| 711.1
| 711.1
| [[3/2]]
| P5
| P5
| perfect 5th
| perfect 5th
| A
| A
| fifth
| sa
| sa
| so/sol
| so/sol
Line 208: Line 324:
| 17
| 17
| 755.6
| 755.6
| [[14/9]], [[20/13]]
| m6
| m6
| minor 6th
| minor 6th
| Bb
| Bb
| subminor sixth
| fla
| fla
| lo
| lo
Line 218: Line 332:
| 18
| 18
| 800.0
| 800.0
| [[8/5]], [[19/12]]
| ^m6
| ^m6
| upminor 6th
| upminor 6th
| ^Bb
| ^Bb
| minor sixth
| flu
| flu
| le
| le
Line 228: Line 340:
| 19
| 19
| 844.4
| 844.4
| [[13/8]]
| ~6
| ~6
| mid 6th
| mid 6th
| vA#
| vA#
| neutral sixth
| li
| li
| lu
| lu
Line 238: Line 348:
| 20
| 20
| 888.9
| 888.9
| [[5/3]], [[32/19]]
| vM6
| vM6
| downmajor 6th
| downmajor 6th
| A#
| A#
| major sixth
| lo
| lo
| la
| la
Line 248: Line 356:
| 21
| 21
| 933.3
| 933.3
| [[12/7]]
| M6
| M6
| major 6th
| major 6th
| B
| B
| supermajor sixth
| la
| la
| li
| li
Line 258: Line 364:
| 22
| 22
| 977.8
| 977.8
| [[7/4]], [[16/9]]
| m7
| m7
| minor 7th
| minor 7th
| C
| C
| harmonic seventh
| tha
| tha
| ta
| ta
Line 268: Line 372:
| 23
| 23
| 1022.2
| 1022.2
| [[9/5]]
| ^m7
| ^m7
| upminor 7th
| upminor 7th
| Db
| Db
| large minor seventh
| thu
| thu
| te
| te
Line 278: Line 380:
| 24
| 24
| 1066.7
| 1066.7
| [[13/7]], [[24/13]], [[28/15]]
| ~7
| ~7
| mid 7th
| mid 7th
| ^Db
| ^Db
| neutral seventh
| ti
| ti
| tu
| tu
Line 288: Line 388:
| 25
| 25
| 1111.1
| 1111.1
| ''[[15/8]]'', [[19/10]], [[36/19]], [[40/21]], [[48/25]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
| vC#
| vC#
| major seventh
| to
| to
| ti
| ti
Line 298: Line 396:
| 26
| 26
| 1155.6
| 1155.6
| [[27/14]], [[35/18]], [[49/25]], [[96/49]], ''[[160/81]]''
| M7
| M7
| major 7th
| major 7th
| C#
| C#
| supermajor seventh
| ta
| ta
| da
| da
Line 308: Line 404:
| 27
| 27
| 1200.0
| 1200.0
| [[2/1]]
| P8
| P8
| 8ve
| 8ve
| D
| D
| octave
| da
| da
| do
| do
|}
|}
<references group="note" />


=== Interval quality and chord names in color notation ===
=== Interval quality and chord names in color notation ===
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