Kite's color notation: Difference between revisions
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== Chord names == | == Chord names == | ||
Triads are named after their 3rd, e.g. a [[4:5:6|yo chord]] has a yo 3rd. A yo chord rooted on C is a Cy chord {{nowrap|{{=}} "C yo"}} {{nowrap|{{=}} {{dash|C yE G}}}}. Qualities such as major and minor aren't used, because a chord with an 11/9 3rd is hard to classify. Thirdless dyads are written {{ | Triads are named after their 3rd, e.g. a [[4:5:6|yo chord]] has a yo 3rd. A yo chord rooted on C is a Cy chord {{nowrap|{{=}} "C yo"}} {{nowrap|{{=}} {{dash|C yE G}}}}. Qualities such as major and minor aren't used, because a chord with an 11/9 3rd is hard to classify. Thirdless dyads are written {{nowrap|C5 {{=}} w1 w5}} or {{nowrap|C(zg5) {{=}} w1 zg5}}. The four main yaza triads: | ||
[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]] | [[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]] | ||
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<u>Alterations are always in parentheses</u>, additions never are, e.g. z7(zg5) and z,y6. An alteration's degree must match a note in the chord, e.g. Cz7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd. The sus note defaults to wa. A [[6:8:9|6:8:9 chord]] could be written C(4), but the parentheses rule is relaxed to allow the conventional C4. Likewise [[8:9:12]] is C2. But if the sus note isn't wa, parentheses must be used. Thus {{nowrap|w1 z4 w5 {{=}} C(z4)}} {{nowrap|{{=}} "C zo-four"}}. More examples: | <u>Alterations are always in parentheses</u>, additions never are, e.g. z7(zg5) and z,y6. An alteration's degree must match a note in the chord, e.g. Cz7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd. The sus note defaults to wa. A [[6:8:9|6:8:9 chord]] could be written C(4), but the parentheses rule is relaxed to allow the conventional C4. Likewise [[8:9:12]] is C2. But if the sus note isn't wa, parentheses must be used. Thus {{nowrap|w1 z4 w5 {{=}} C(z4)}} {{nowrap|{{=}} "C zo-four"}}. More examples: | ||
* [[6:7:8:9]] = Cz,4 = "C zo add-four" | *[[6:7:8:9]] = Cz,4 = "C zo add-four" | ||
* w1 w4 w5 y7 w9 = Cy9(4) = "C yo-nine sus-four" | *w1 w4 w5 y7 w9 = Cy9(4) = "C yo-nine sus-four" | ||
* w1 z4 w5 z7 = Cz7(z4) or C(z4)z7 = "C zo-seven zo-four" or "C zo-four zo-seven" | *w1 z4 w5 z7 = Cz7(z4) or C(z4)z7 = "C zo-seven zo-four" or "C zo-four zo-seven" | ||
Omissions are indicated by "no". The za [[Hendrix chord]] is Ch7z10no5. (To write it as a sharp-9 chord, use qu: Ch7zq9no5.) A no3 tetrad can also be written as a 5 chord with an added 6th or 7th: Cy6no3 = C5y6, and Cz7(zg5)no3 = C(zg5)z7. | Omissions are indicated by "no". The za [[Hendrix chord]] is Ch7z10no5. (To write it as a sharp-9 chord, use qu: Ch7zq9no5.) A no3 tetrad can also be written as a 5 chord with an added 6th or 7th: Cy6no3 = C5y6, and Cz7(zg5)no3 = C(zg5)z7. | ||
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<u>All wa chords can be named conventionally</u>, since wa is the default color. Thus {{dash|w1, w3, w5}} is both Cw and Cm. And {{dash|w1, Lw3, w5, w6}} is both CLw6 and C6. For aesthetic reasons, the conventional name is preferred only when neither "M" nor "m" appears in the name (since color notation doesn't use major/minor). This is especially true if the chord includes non-wa notes: {{dash|w1, w3, w5, y6}} is Cw,y6 not Cm,y6. | <u>All wa chords can be named conventionally</u>, since wa is the default color. Thus {{dash|w1, w3, w5}} is both Cw and Cm. And {{dash|w1, Lw3, w5, w6}} is both CLw6 and C6. For aesthetic reasons, the conventional name is preferred only when neither "M" nor "m" appears in the name (since color notation doesn't use major/minor). This is especially true if the chord includes non-wa notes: {{dash|w1, w3, w5, y6}} is Cw,y6 not Cm,y6. | ||
Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s6(zg5) or h7,zg9), etc. | Chords can be classified as '''bicolored''' (e.g. g7 or r6), '''tricolored''' (e.g. z7(zg5) or z,y6), '''quadricolored''' (e.g. s6(zg5) or h7,zg9), etc. | ||
== Chord progressions, keys, scales and modulations == | |||
The tonic is always wa. The root of each chord has a color, which defaults to wa. C - Am - F - G7 might become Cy - yAg - Fy - Gy,w7, spoken as "C yo, yo A gu, F yo, G yo wa-seven". If the root isn't wa, the root color is added to each interval's color. | ==Chord progressions, keys, scales and modulations== | ||
A conventional chord name like IIm7 names the chord root relative to the tonic and the chord notes relative to the chord root. The "m7" is shorthand for (P1, m3, P5, m7). Adding each of these intervals to the M2 root gives us the four notes of the chord: M2, P4, M6 and P8. In the key of E, it would be F#m7 = F# + (P1, m3, P5, m7) = F#, A, C# and E. | |||
Color notation works the same way. The tonic is always wa. The root of each chord has a color, which defaults to wa. C - Am - F - G7 might become Cy - yAg - Fy - Gy,w7, spoken as "C yo, yo A gu, F yo, G yo wa-seven". If the root isn't wa, the root color is added to each interval's color. Yo and gu cancel out when added together, so yAg = yA + (w1, g3, w5) = yA + wC + yE. The chord's third is gu relative to the chord root, but wa relative to the tonic. | |||
In relative notation, the previous example becomes Iy - yVIg - IVy - Vy,w7, spoken as "one yo, yo-six gu, four yo, five yo wa-seven". Never use lower-case roman numerals for minor chords: ii becomes IIg or IIz. A IIIy chord has a w3 root, which is 32/27 not 81/64. The latter would be a LwIIIy chord (use L and s, not # and b; #IIIy is invalid). | In relative notation, the previous example becomes Iy - yVIg - IVy - Vy,w7, spoken as "one yo, yo-six gu, four yo, five yo wa-seven". Never use lower-case roman numerals for minor chords: ii becomes IIg or IIz. A IIIy chord has a w3 root, which is 32/27 not 81/64. The latter would be a LwIIIy chord (use L and s, not # and b; #IIIy is invalid). | ||
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(Occasionally, the 6th or the 7th may be La or sa. For example, the wa scale has a wa 3rd, because the 3rd of the scale always matches the scale name exactly. The 6th and 7th default to a perfect 4th/5th from the 3rd, so the 6th is sa, not central. Thus the wa scale is minor, and the Lawa scale is major.) | (Occasionally, the 6th or the 7th may be La or sa. For example, the wa scale has a wa 3rd, because the 3rd of the scale always matches the scale name exactly. The 6th and 7th default to a perfect 4th/5th from the 3rd, so the 6th is sa, not central. Thus the wa scale is minor, and the Lawa scale is major.) | ||
Just as there is a har7 chord, there is a har15 scale: w1 w2 y3 1o4 w5 3o6 z7 y7 w8. A har-N scale (where N is odd) is harmonics (N+1)/2 to N+1. The tonic of the scale is always a power of 2. Thus the har9 scale is not 5:6:7:8:9:10 but 8:9:10:12:14:16 = w1 w2 y3 w5 z7 w8. Likewise there are | Just as there is a har7 chord, there is a har15 scale: w1 w2 y3 1o4 w5 3o6 z7 y7 w8. A har-N scale (where N is odd) is harmonics (N+1)/2 to N+1. The tonic of the scale is always a power of 2. Thus the har9 scale is not 5:6:7:8:9:10 but 8:9:10:12:14:16 = w1 w2 y3 w5 z7 w8. The 5:6:7:8:9:10 scale is the over-5 mode of this scale, written "har9 /5". Since there are no gaps in the harmonic series fragment, 5:6:7:8:9:10 can be abbreviated as 5::10. Likewise there are subharmonic scales and modes. The sub15 scale is 16:15:14:13:12:11:10:9:8 or 16::8. The notes are w1 g2 r2 3u3 w4 1u5 g5 w7 w8. | ||
Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on <u>wa</u> roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots. One can also modulate '''fourthward''' or '''fifthward''', abbreviated '''4thwd''' or '''5thwd'''. Modulating in either direction is modulating '''waward'''. Modulating from a yo key to the relative gu, and perhaps from there to the parallel yo is modulating '''yoward'''. A root movement by a yo interval (e.g. Iy - yVIg) is a yoward move. Likewise, there's '''guward''', and '''y<u>a</u>ward''' includes both. Likewise, there's '''zoward''', '''ruward''', '''zaward''', '''iloward''', etc. | Analogous to the relative and parallel major or minor, one can modulate to relative gu, parallel ru, etc. Modulating from a yo key to the relative gu means using gu chords on yo roots. Modulating from yo to the parallel gu means using gu chords on <u>wa</u> roots. Going from yo zo to the relative gu means using chords with gu and/or ru in them on yo roots. Going to the relative ru means using the same chords on zo roots. Going from yo zo to the parallel gu ru means using the same chords on wa roots. One can also modulate '''fourthward''' or '''fifthward''', abbreviated '''4thwd''' or '''5thwd'''. Modulating in either direction is modulating '''waward'''. Modulating from a yo key to the relative gu, and perhaps from there to the parallel yo is modulating '''yoward'''. A root movement by a yo interval (e.g. Iy - yVIg) is a yoward move. Likewise, there's '''guward''', and '''y<u>a</u>ward''' includes both. Likewise, there's '''zoward''', '''ruward''', '''zaward''', '''iloward''', etc. | ||
== Temperament names and comma names == | ==Temperament names and comma names== | ||
{{Main | Color notation/Temperament names}} | {{Main | Color notation/Temperament names}} | ||
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MOS and MODMOS scales can be named as e.g. Triyoti[8]. Individual modes can be named as 2nd Triyoti[8], 3rd Triyoti[7] b7, etc. See [[Naming Rank-2 Scales using Mode Numbers]]. | MOS and MODMOS scales can be named as e.g. Triyoti[8]. Individual modes can be named as 2nd Triyoti[8], 3rd Triyoti[7] b7, etc. See [[Naming Rank-2 Scales using Mode Numbers]]. | ||
== Ups and downs, lifts and drops, plain and mid == | ==Ups and downs, lifts and drops, plain and mid== | ||
Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe intervals in [[EDO | edos]], and colors can be used as well. A more precise notation uses [[Ups and Downs Notation | '''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. [[Sharpness | Sharp-1 and flat-1]] edos don't require ups and downs. | Color notation merely renames ratios more conveniently, and strictly speaking, it only applies to just intonation. However, ratios are often used to loosely describe intervals in [[EDO | edos]], and colors can be used as well. A more precise notation uses [[Ups and Downs Notation | '''ups''' '''and''' '''downs''']] (^ and v) as "virtual colors", accidentals that always map to exactly one edostep. Ups and downs are used on the score just like color accidentals are. Notes are named e.g. up C sharp = ^C#. [[Sharpness | Sharp-1 and flat-1]] edos don't require ups and downs. | ||
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[[Tour of Regular Temperaments | Rank-2 temperaments]] can be notated with ups and downs as well. Plain and mid are also used in this context. Certain temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Plain means neither up nor down nor lifted nor dropped. There may be upmid or liftmid intervals. Chords are named C-up add lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen | pergens]]. | [[Tour of Regular Temperaments | Rank-2 temperaments]] can be notated with ups and downs as well. Plain and mid are also used in this context. Certain temperaments require an additional pair of virtual colors, '''lifts''' and '''drops''' (/ and \). Notes are named lift C = /C, downdrop F sharp = v\F#, etc. Intervals are named drop 4th = \4, uplift major 3rd = ^/M3, etc. Plain means neither up nor down nor lifted nor dropped. There may be upmid or liftmid intervals. Chords are named C-up add lift-seven = C^,/7 = C ^E G /Bb, C uplift-seven = C^/7 = C ^/E G ^/Bb, etc. See [[Pergen | pergens]]. | ||
== Glossary / crash course == | ==Glossary / crash course== | ||
'''Over''' = prime in the numerator. '''Under''' = prime in the denominator. '''All''' = over, under or neither: wa = 3-limit, ya = 2.3.5, yaza = 2.3.5.7. '''Exponent''' = repeated syllable: triyo = yoyoyo = 125-over. | '''Over''' = prime in the numerator. '''Under''' = prime in the denominator. '''All''' = over, under or neither: wa = 3-limit, ya = 2.3.5, yaza = 2.3.5.7. '''Exponent''' = repeated syllable: triyo = yoyoyo = 125-over. | ||
{| class="wikitable" style="text-align: center;" | {| class="wikitable" style="text-align: center;" | ||
|- | |- | ||
! prime | !prime | ||
! colspan="2" | -o ("oh") for over | ! colspan="2" |-o ("oh") for over | ||
! colspan="2" | -u ("oo") for under | ! colspan="2" |-u ("oo") for under | ||
! colspan="2" | -a ("ah") for all | ! colspan="2" |-a ("ah") for all | ||
! colspan="2" | -e ("eh") for exponent | ! colspan="2" |-e ("eh") for exponent | ||
|- | |- | ||
| 2 | |2 | ||
| colspan="2" | — | | colspan="2" |— | ||
| colspan="2" | — | | colspan="2" |— | ||
| (clear) | |(clear) | ||
| — | |— | ||
| bi ("bee") | |bi ("bee") | ||
| double | |double | ||
|- | |- | ||
| 3 | |3 | ||
| colspan="2" | — | | colspan="2" |— | ||
| colspan="2" | — | | colspan="2" |— | ||
| wa (white) | |wa (white) | ||
| — | |— | ||
| tri ("tree") | |tri ("tree") | ||
| triple | |triple | ||
|- | |- | ||
| colspan="7" | | | colspan="7" | | ||
| quad | |quad | ||
| quadruple | |quadruple | ||
|- | |- | ||
| 5 | |5 | ||
| yo (yellow) | |yo (yellow) | ||
| y | |y | ||
| gu (green) | |gu (green) | ||
| g | |g | ||
| ya | |ya | ||
| — | |— | ||
| quin | |quin | ||
| quintuple | |quintuple | ||
|- | |- | ||
| 7 | |7 | ||
| zo (azul) | |zo (azul) | ||
| z | |z | ||
| ru (red) | |ru (red) | ||
| r | |r | ||
| za | |za | ||
| — | |— | ||
| sep | |sep | ||
| septuple | |septuple | ||
|- | |- | ||
| 11 | |11 | ||
| (i)lo | |(i)lo | ||
| 1o | |1o | ||
| lu | |lu | ||
| 1u | |1u | ||
| (i)la | |(i)la | ||
| 1a | |1a | ||
| le | |le | ||
| 11-fold | |11-fold | ||
|- | |- | ||
| 13 | |13 | ||
| tho | |tho | ||
| 3o | |3o | ||
| thu | |thu | ||
| 3u | |3u | ||
| tha | |tha | ||
| 3a | |3a | ||
| the | |the | ||
| 13-fold | |13-fold | ||
|- | |- | ||
| 17 | |17 | ||
| (i)so | |(i)so | ||
| 17o | |17o | ||
| su | |su | ||
| 17u | |17u | ||
| (i)sa | |(i)sa | ||
| 17a | |17a | ||
| se | |se | ||
| 17-fold | |17-fold | ||
|- | |- | ||
| 19 | |19 | ||
| (i)no | |(i)no | ||
| 19o | |19o | ||
| (i)nu | |(i)nu | ||
| 19u | |19u | ||
| na | |na | ||
| 19a | |19a | ||
| ne | |ne | ||
| 19-fold | |19-fold | ||
|- | |- | ||
| 23 | |23 | ||
| twetho | |twetho | ||
| 23o | |23o | ||
| twethu | |twethu | ||
| 23u | |23u | ||
| twetha | |twetha | ||
| 23a | |23a | ||
| twethe | |twethe | ||
| 23-fold | |23-fold | ||
|} | |} | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! colspan="2" | Word | ! colspan="2" |Word | ||
! Meaning | !Meaning | ||
! Example | !Example | ||
|- | |- | ||
| colspan="2" | central | | colspan="2" |central | ||
| refers to a ratio centrally located in the lattice | |refers to a ratio centrally located in the lattice | ||
| every ratio of odd limit < 81 is central (but only some > 81 are not central) | |every ratio of odd limit < 81 is central (but only some > 81 are not central) | ||
|- | |- | ||
| la- | |la- | ||
| style="text-align: center;" | L | | style="text-align: center;" |L | ||
| large, augmented by 2187/2048 from the central ratio | |large, augmented by 2187/2048 from the central ratio | ||
| 32/27 = wa 3rd = w3, 81/64 = lawa 3rd = Lw3 | |32/27 = wa 3rd = w3, 81/64 = lawa 3rd = Lw3 | ||
|- | |- | ||
| sa- | |sa- | ||
| style="text-align: center;" | s | | style="text-align: center;" |s | ||
| small, diminished by 2187/2048 from the central ratio | |small, diminished by 2187/2048 from the central ratio | ||
| 27/16 = wa 6th = w6, 128/81 = sawa 6th = sw6 | |27/16 = wa 6th = w6, 128/81 = sawa 6th = sw6 | ||
|- | |- | ||
| colspan="2" | magnitude | | colspan="2" |magnitude | ||
| refers to central, la, sa, lala, trisa, quadla, etc. | |refers to central, la, sa, lala, trisa, quadla, etc. | ||
| the sum of all prime exponents except the 1st, divided by 7 and rounded off | |the sum of all prime exponents except the 1st, divided by 7 and rounded off | ||
|- | |- | ||
| colspan="2" | i- | | colspan="2" |i- | ||
| disambiguation prefix | |disambiguation prefix | ||
| no 3rd = omit the 3rd, but ino 3rd = 19/16 | |no 3rd = omit the 3rd, but ino 3rd = 19/16 | ||
|- | |- | ||
| colspan="2" | -a- | | colspan="2" | -a- | ||
| delimits an exponent such as bi-, tri-, etc. | |delimits an exponent such as bi-, tri-, etc. | ||
| Trizogu = z<sup>3</sup>g<sup>3</sup> = 1029/1000, but Trizo-agu = z<sup>3</sup>g = 343/320 | |Trizogu = z<sup>3</sup>g<sup>3</sup> = 1029/1000, but Trizo-agu = z<sup>3</sup>g = 343/320 | ||
|- | |- | ||
| co- | |co- | ||
| style="text-align: center;" | c | | style="text-align: center;" |c | ||
| compound (conventional term for widened by an 8ve) | |compound (conventional term for widened by an 8ve) | ||
| 7/4 = zo 7th = z7, 7/2 = compound zo 7th = cozo 7th = cz7 | |7/4 = zo 7th = z7, 7/2 = compound zo 7th = cozo 7th = cz7 | ||
|- | |- | ||
| har | |har | ||
| style="text-align: center;" | h | | style="text-align: center;" |h | ||
| refers to a harmonic series (otonal) chord | |refers to a harmonic series (otonal) chord | ||
| [[4:5:6:7]] = C har-seven = Ch7 | |[[4:5:6:7]] = C har-seven = Ch7 | ||
|- | |- | ||
| sub | |sub | ||
| style="text-align: center;" | s | | style="text-align: center;" |s | ||
| refers to a subharmonic series (utonal) chord | |refers to a subharmonic series (utonal) chord | ||
| [[60:70:84:105|7:6:5:4]] = C sub-seven = Cs7 | |[[60:70:84:105|7:6:5:4]] = C sub-seven = Cs7 | ||
|- | |- | ||
| po | |po | ||
| style="text-align: center;" | p | | style="text-align: center;" |p | ||
| adds a pythagorean comma, to change the degree | |adds a pythagorean comma, to change the degree | ||
| 15/14 = ruyo unison = ry1 = ruyopo 2nd = ryp2 | |15/14 = ruyo unison = ry1 = ruyopo 2nd = ryp2 | ||
|- | |- | ||
| qu | |qu | ||
| style="text-align: center;" | q | | style="text-align: center;" |q | ||
| subtracts a pythagorean comma | |subtracts a pythagorean comma | ||
| 49/48 = zozo 2nd = zz2 = zozoqu unison = zzq1 | |49/48 = zozo 2nd = zz2 = zozoqu unison = zzq1 | ||
|- | |- | ||
| | | -ti | ||
| T | |T | ||
| changes a comma name to a temperament name | |changes a comma name to a temperament name | ||
| Gu = 81/80, Guti = meantone | |Gu = 81/80, Guti = meantone | ||
|- | |- | ||
| | | -bi | ||
| style="text-align: center;" | #2 | | style="text-align: center;" |#2 | ||
| as a suffix, 2nd smallest comma in the row segment | |as a suffix, 2nd smallest comma in the row segment | ||
| Guti = gT is Meantone, but Gubiti = g#2T is [[Father]] (16/15 vanishes) | |Guti = gT is Meantone, but Gubiti = g#2T is [[Father]] (16/15 vanishes) | ||
|- | |- | ||
| Wa- | |Wa- | ||
| w- | |w- | ||
| alternate interval format, only used for 3-limit commas | |alternate interval format, only used for 3-limit commas | ||
| [[Mercator's comma]] = Wa-53 = w-53 | |[[Mercator's comma]] = Wa-53 = w-53 | ||
|- | |- | ||
| colspan="2" | nowa | | colspan="2" |nowa | ||
| remove 3 (wa) from the prime subgroup, i.e. no-threes | |remove 3 (wa) from the prime subgroup, i.e. no-threes | ||
| 2.5.7 = yaza nowa, 2.5.7 & 50/49 = Biruyoti nowa | |2.5.7 = yaza nowa, 2.5.7 & 50/49 = Biruyoti nowa | ||
|- | |- | ||
| colspan="2" | noca | | colspan="2" |noca | ||
| remove 2 (clear) from the prime subgroup, i.e. non-8ve | |remove 2 (clear) from the prime subgroup, i.e. non-8ve | ||
| 3.5.7 = yaza noca, 3.5.7 & 245/243 = Zozoyoti noca | |3.5.7 = yaza noca, 3.5.7 & 245/243 = Zozoyoti noca | ||
|- | |- | ||
| colspan="2" | nowaca | | colspan="2" |nowaca | ||
| remove both 2 and 3 from the prime subgroup | |remove both 2 and 3 from the prime subgroup | ||
| 5.7.11 = yazala nowaca | |5.7.11 = yazala nowaca | ||
|- | |- | ||
| plus | |plus | ||
| style="text-align: center;" | + | | style="text-align: center;" | + | ||
| add an untempered prime to the temperament | |add an untempered prime to the temperament | ||
| Blackwood = 2.3.5 with 256/243 tempered out = Sawa + ya | |Blackwood = 2.3.5 with 256/243 tempered out = Sawa + ya | ||
|- | |- | ||
| and | |and | ||
| style="text-align: center;" | & | | style="text-align: center;" |& | ||
| joins commas that are tempered out | |joins commas that are tempered out | ||
| 7-limit Porcupine = 2.3.5.7 with 250/243 & 64/63 = Triyo & Ru | |7-limit Porcupine = 2.3.5.7 with 250/243 & 64/63 = Triyo & Ru | ||
|- | |- | ||
| | | -ward | ||
| style="text-align: center;" | -wd | | style="text-align: center;" | -wd | ||
| refers to the direction of chord root movement | |refers to the direction of chord root movement | ||
| Iy - IVy = 4thwd, Iy - Vy = 5thwd, Iy - yIIIy = yoward, Ig - gIIIg = guward | |Iy - IVy = 4thwd, Iy - Vy = 5thwd, Iy - yIIIy = yoward, Ig - gIIIg = guward | ||
|} | |} | ||
Homonyms: | Homonyms: | ||
* "wa" means both "3-all" and "-one-all" (e.g. thiwa means 31-all). The meaning is always clear from context. | *"wa" means both "3-all" and "-one-all" (e.g. thiwa means 31-all). The meaning is always clear from context. | ||
* "lo" means both "11-over" and "low", as in "low C". Thus 1o by itself becomes "ilo". | *"lo" means both "11-over" and "low", as in "low C". Thus 1o by itself becomes "ilo". | ||
* "la" means both "11-all" and "large", and also the solfege note La. Thus 1a by itself becomes "ila". | *"la" means both "11-all" and "large", and also the solfege note La. Thus 1a by itself becomes "ila". | ||
* "so" means both "17-over" and the solfege note So. Thus 17o by itself becomes "iso". | *"so" means both "17-over" and the solfege note So. Thus 17o by itself becomes "iso". | ||
* "sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a by itself becomes "isa". | *"sa" means both "17-all" and "small", and also the Saregam note Sa. Thus 17a by itself becomes "isa". | ||
* "no" means both "19-over" and "omit", as in no3. Thus 19o by itself becomes "ino". | *"no" means both "19-over" and "omit", as in no3. Thus 19o by itself becomes "ino". | ||
* "nu" means both "19-under" and "new", as in "the new key". Thus 19u by itself becomes "inu". | *"nu" means both "19-under" and "new", as in "the new key". Thus 19u by itself becomes "inu". | ||
* "bi" means both "doubled" as in biruyo and "2nd smallest" as in Layobi. The meaning is always clear from context. | *"bi" means both "doubled" as in biruyo and "2nd smallest" as in Layobi. The meaning is always clear from context. | ||
Temperaments use "virtual colors" represented with arrows ^ v and perhaps slashes / \ | Temperaments use "virtual colors" represented with arrows ^ v and perhaps slashes / \ | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! colspan="2" | Word | ! colspan="2" |Word | ||
! Meaning | !Meaning | ||
|- | |- | ||
| up | |up | ||
| ^ | |^ | ||
| raised by some comma | |raised by some comma | ||
|- | |- | ||
| down | |down | ||
| v | |v | ||
| lowered by some comma | |lowered by some comma | ||
|- | |- | ||
| colspan="2" | arrow | | colspan="2" |arrow | ||
| refers collectively to both ups and downs | |refers collectively to both ups and downs | ||
|- | |- | ||
| lift | |lift | ||
| / | |/ | ||
| raised by some other comma | |raised by some other comma | ||
|- | |- | ||
| drop | |drop | ||
| \ | |\ | ||
| lowered by some other comma | |lowered by some other comma | ||
|- | |- | ||
| colspan="2" | slash | | colspan="2" |slash | ||
| refers collectively to both lifts and drops | |refers collectively to both lifts and drops | ||
|- | |- | ||
| plain | |plain | ||
| ♢ | |♢ | ||
| neither up nor down nor lifted nor dropped | |neither up nor down nor lifted nor dropped | ||
|- | |- | ||
| mid | |mid | ||
| ~ | |~ | ||
| for 2nds, 3rd, 6ths and 7ths, exactly halfway between major and minor | |for 2nds, 3rd, 6ths and 7ths, exactly halfway between major and minor | ||
a mid 4th is halfway-augmented, and a mid 5th is halfway-diminished | a mid 4th is halfway-augmented, and a mid 5th is halfway-diminished | ||
|} | |} | ||
== Translations == | ==Translations== | ||
For translations of color notation terms into other languages, see [[Color notation/Translations]]. Translating avoids using sounds not in one's native language. For example, in many European languages, "th-" for prime 13 becomes "tr-". | For translations of color notation terms into other languages, see [[Color notation/Translations]]. Translating avoids using sounds not in one's native language. For example, in many European languages, "th-" for prime 13 becomes "tr-". | ||
== See also == | ==See also== | ||
* [[xen-calc]] – A web app that converts to/from ratios, monzos and color notation, and also supports ups and downs notation. | *[[xen-calc]] – A web app that converts to/from ratios, monzos and color notation, and also supports ups and downs notation. | ||
* [[ledzo notation]] – A similar competing notation system. | *[[ledzo notation]] – A similar competing notation system. | ||
== Further reading == | ==Further reading== | ||
* Giedraitis, Kite. [http://www.tallkite.com/AlternativeTunings.html ''Alternative Tunings: Theory, Notation and Practice'']. | *Giedraitis, Kite. [http://www.tallkite.com/AlternativeTunings.html ''Alternative Tunings: Theory, Notation and Practice'']. | ||
{{Navbox notation}} | {{Navbox notation}} |