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Chain-of-fifths notation: Difference between revisions

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{| class="wikitable center-all left-1"
{| class="wikitable center-all left-1"
|+ Accidentals in (neutral) circle-of-fifths notation
|+ style="font-size: 105%;" | Accidentals in (neutral) circle-of-fifths notation
|-
|-
! Style \ Offset
! Style \ Offset
Line 30: Line 30:
| Sesquiflat
| Sesquiflat
| Flat
| Flat
| Half-flat<br>Demiflat<br>Semiflat
| Half-flat<br />Demiflat<br />Semiflat
| Natural
| Natural
| Half-sharp<br>Demisharp<br>Semisharp
| Half-sharp<br />Demisharp<br />Semisharp
| Sharp
| Sharp
| Sesquisharp
| Sesquisharp
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|- style="vertical-align: top;"  
|- style="vertical-align: top;"  
| style="vertical-align: middle;" | Standard accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/standard-accidentals-12-edo.html Standard Music Font Layout | Standard accidentals (12-EDO)]</ref>
| style="vertical-align: middle;" | Standard accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/standard-accidentals-12-edo.html Standard Music Font Layout | Standard accidentals (12-EDO)]</ref>
| 𝄫<br>(U+1D12B)
| 𝄫<br />(U+1D12B)
|  
|  
| ♭<br>(U+266D)
| ♭<br />(U+266D)
|  
|  
| ♮<br>(U+266E)
| ♮<br />(U+266E)
|  
|  
| ♯<br>(U+266F)
| ♯<br />(U+266F)
|  
|  
| 𝄪<br>(U+1D12A)
| 𝄪<br />(U+1D12A)
|- style="vertical-align: top;"  
|- style="vertical-align: top;"  
| style="vertical-align: middle;" | Standard accidentals<br>+ Stein-Zimmermann accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/stein-zimmermann-accidentals-24-edo.html Standard Music Font Layout | Stein-Zimmermann accidentals (24-EDO)]</ref>
| style="vertical-align: middle;" | Standard accidentals<br />+ Stein-Zimmermann accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/stein-zimmermann-accidentals-24-edo.html Standard Music Font Layout | Stein-Zimmermann accidentals (24-EDO)]</ref>
| {{flat2|200%}}<br>(U+E264)
| {{flat2|200%}}<br />(U+E264)
| {{sesquiflat|200%}}<br>(U+E281)
| {{sesquiflat|200%}}<br />(U+E281)
| {{flat|200%}}<br>(U+E260)
| {{flat|200%}}<br />(U+E260)
| {{demiflat|200%}}<br>(U+E280)
| {{demiflat|200%}}<br />(U+E280)
| {{natural|200%}}<br>(U+E261)
| {{natural|200%}}<br />(U+E261)
| {{demisharp|200%}}<br>(U+E282)
| {{demisharp|200%}}<br />(U+E282)
| {{sharp|200%}}<br>(U+E262)
| {{sharp|200%}}<br />(U+E262)
| {{sesquisharp|200%}}<br>(U+E283)
| {{sesquisharp|200%}}<br />(U+E283)
| {{sharp2|200%}}<br>(U+E263)
| {{sharp2|200%}}<br />(U+E263)
|-
|-
| Substitute symbols
| Substitute symbols
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|-
|-
| Xen Wiki [[:Category:character templates|character templates]]
| Xen Wiki [[:Category:character templates|character templates]]
| <nowiki>{{</nowiki>[[Template:flat2|flat2]]}}
| {{tl|flat2}}
| <nowiki>{{</nowiki>[[Template:sesquiflat|sesquiflat]]}}<br><nowiki>{{</nowiki>[[Template:sesquiflat2|sesquiflat2]]}}
| {{tl|sesquiflat}}<br />{{tl|sesquiflat2}}
| <nowiki>{{</nowiki>[[Template:flat|flat]]}}
| {{tl|flat}}
| <nowiki>{{</nowiki>[[Template:demiflat|demiflat]]}}<br><nowiki>{{</nowiki>[[Template:demiflat2|demiflat2]]}}
| {{tl|demiflat}}<br />{{tl|demiflat2}}
| <nowiki>{{</nowiki>[[Template:natural|natural]]}}
| {{tl|natural}}
| <nowiki>{{</nowiki>[[Template:demisharp|demisharp]]}}<br><nowiki>{{</nowiki>[[Template:demisharp2|demisharp2]]}}
| {{tl|demisharp}}<br />{{tl|demisharp2}}
| <nowiki>{{</nowiki>[[Template:sharp|sharp]]}}
| {{tl|sharp}}
| <nowiki>{{</nowiki>[[Template:sesquisharp|sesquisharp]]}}<br><nowiki>{{</nowiki>[[Template:sesquisharp2|sesquisharp2]]}}
| {{tl|sesquisharp}}<br />{{tl|sesquisharp2}}
| <nowiki>{{</nowiki>[[Template:sharp2|sharp2]]}}
| {{tl|sharp2}}
|}
|}


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{| class="wikitable center-all left-1"
{| class="wikitable center-all left-1"
|+ Alternative accidentals in (neutral) circle-of-fifths notation
|+ style="font-size: 105%;" | Alternative accidentals in (neutral) circle-of-fifths notation
|-
|-
! Style \ Offset
! Style \ Offset
! &minus;2
! &minus;2
! &minus;1½
! &minus;1&#189;
! &minus;1
! &minus;1
! &minus;½
! &minus;&#189;
! ±0
! 0
! +½
! +&#189;
! +1
! +1
! +1½
! +1&#189;
! +2
! +2
|- style="vertical-align: top;"  
|- style="vertical-align: top;"  
| style="vertical-align: middle;" | Gould arrow quartertone accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/gould-arrow-quartertone-accidentals-24-edo.html Standard Music Font Layout | Gould arrow quartertone accidentals (24-EDO)]</ref><ref group="note">Symbols for five-quarter-tones accidentals are also available.</ref>
| style="vertical-align: middle;" | Gould arrow quartertone accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/gould-arrow-quartertone-accidentals-24-edo.html Standard Music Font Layout | Gould arrow quartertone accidentals (24-EDO)]</ref><ref group="note">Symbols for five-quarter-tones accidentals are also available.</ref>
| {{flat2|200%}}
| {{flat2|200%}}
| {{Bravura||200%}}<br>(U+E271)<br>(U+1D12D)<br>{{Bravura||200%}}<br>(U+E278)
| {{Bravura||200%}}<br />(U+E271)<br />(U+1D12D)<br />{{Bravura||200%}}<br />(U+E278)
| {{flat|200%}}
| {{flat|200%}}
| {{Bravura||200%}}<br>(U+E270)<br>(U+1D12C)<br>{{Bravura||200%}}<br>(U+E273)<br>(U+1D12F)
| {{Bravura||200%}}<br />(U+E270)<br />(U+1D12C)<br />{{Bravura||200%}}<br />(U+E273)<br />(U+1D12F)
| {{natural|200%}}
| {{natural|200%}}
| {{Bravura||200%}}<br>(U+E275)<br>(U+1D131)<br>{{Bravura||200%}}<br>(U+E272)<br>(U+1D12E)
| {{Bravura||200%}}<br />(U+E275)<br />(U+1D131)<br />{{Bravura||200%}}<br />(U+E272)<br />(U+1D12E)
| {{sharp|200%}}
| {{sharp|200%}}
| {{Bravura||200%}}<br>(U+E274)<br>(U+1D130)<br>{{Bravura||200%}}<br>(U+E277)
| {{Bravura||200%}}<br />(U+E274)<br />(U+1D130)<br />{{Bravura||200%}}<br />(U+E277)
| {{sharp2|200%}}
| {{sharp2|200%}}
|- style="vertical-align: top;"
|- style="vertical-align: top;"
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|  
|  
| {{flat|200%}}
| {{flat|200%}}
| {{Bravura||200%}}<br>Koron<br>(U+E460)
| {{Bravura||200%}}<br />Koron<br />(U+E460)
| {{natural|200%}}
| {{natural|200%}}
| {{Bravura||200%}}<br>Sori<br>(U+E461)
| {{Bravura||200%}}<br />Sori<br />(U+E461)
| {{sharp|200%}}
| {{sharp|200%}}
|  
|  
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|- style="vertical-align: top;"  
|- style="vertical-align: top;"  
| style="vertical-align: middle;" | [[Sagittal]] accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/spartan-sagittal-single-shaft-accidentals.html Standard Music Font Layout | Spartan Sagittal single-shaft accidentals]</ref><ref>[https://www.w3.org/2021/03/smufl14/tables/spartan-sagittal-multi-shaft-accidentals.html Standard Music Font Layout | Spartan Sagittal multi-shaft accidentals]</ref><ref group="note">In mixed Sagittal notation, standard sharps and flats may be used instead of sagittal sharps and flats, and sagittal accidentals may be used to the left of those to alter them. Also, Sagittal notation includes many more accidentals besides those included in the table.</ref>
| style="vertical-align: middle;" | [[Sagittal]] accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/spartan-sagittal-single-shaft-accidentals.html Standard Music Font Layout | Spartan Sagittal single-shaft accidentals]</ref><ref>[https://www.w3.org/2021/03/smufl14/tables/spartan-sagittal-multi-shaft-accidentals.html Standard Music Font Layout | Spartan Sagittal multi-shaft accidentals]</ref><ref group="note">In mixed Sagittal notation, standard sharps and flats may be used instead of sagittal sharps and flats, and sagittal accidentals may be used to the left of those to alter them. Also, Sagittal notation includes many more accidentals besides those included in the table.</ref>
| {{Bravura||200%}}<br>(U+E335)
| {{Bravura||200%}}<br />(U+E335)
| {{Bravura||200%}}<br>(U+E327)
| {{Bravura||200%}}<br />(U+E327)
| {{Bravura||200%}}<br>(U+E319)
| {{Bravura||200%}}<br />(U+E319)
| {{Bravura||200%}}<br>(U+E30B)
| {{Bravura||200%}}<br />(U+E30B)
| {{natural|200%}}
| {{natural|200%}}
| {{Bravura||200%}}<br>(U+E30A)
| {{Bravura||200%}}<br />(U+E30A)
| {{Bravura||200%}}<br>(U+E318)
| {{Bravura||200%}}<br />(U+E318)
| {{Bravura||200%}}<br>(U+E326)
| {{Bravura||200%}}<br />(U+E326)
| {{Bravura||200%}}<br>(U+E334)
| {{Bravura||200%}}<br />(U+E334)
|- style="vertical-align: top;"  
|- style="vertical-align: top;"  
| style="vertical-align: middle;" | [[Wyschnegradsky]] accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/wyschnegradsky-accidentals-72-edo.html Standard Music Font Layout | Wyschnegradsky accidentals (72-EDO)]</ref><ref group="note">Wyschnegradsky accidentals also include twelfth-tone ([[72edo]]) accidentals.</ref>
| style="vertical-align: middle;" | [[Wyschnegradsky]] accidentals<ref>[https://www.w3.org/2021/03/smufl14/tables/wyschnegradsky-accidentals-72-edo.html Standard Music Font Layout | Wyschnegradsky accidentals (72-EDO)]</ref><ref group="note">Wyschnegradsky accidentals also include twelfth-tone ([[72edo]]) accidentals.</ref>
| {{flat2|200%}}
| {{flat2|200%}}
| {{Bravura||200%}}<br>(U+E433)
| {{Bravura||200%}}<br />(U+E433)
| {{Bravura||200%}}<br>(U+E430)
| {{Bravura||200%}}<br />(U+E430)
| {{Bravura||200%}}<br>(U+E42D)
| {{Bravura||200%}}<br />(U+E42D)
| {{natural|200%}}
| {{natural|200%}}
| {{Bravura||200%}}<br>(U+E422)
| {{Bravura||200%}}<br />(U+E422)
| {{Bravura||200%}}<br>(U+E425)
| {{Bravura||200%}}<br />(U+E425)
| {{Bravura||200%}}<br>(U+E428)
| {{Bravura||200%}}<br />(U+E428)
| {{sharp2|200%}}
| {{sharp2|200%}}
|}
|}
Line 151: Line 151:
Edos up to 100 are listed in the following tables. The unit (if not stated otherwise) is ''edosteps'' of the corresponding edo which is given in the first column of each row. The tables contain only diatonic edos (i.e. A1 and m2 have edostepspans > 0). The last two columns are the edo's [[Sharpness|pentasharpness and sharpness]] respectively.
Edos up to 100 are listed in the following tables. The unit (if not stated otherwise) is ''edosteps'' of the corresponding edo which is given in the first column of each row. The tables contain only diatonic edos (i.e. A1 and m2 have edostepspans > 0). The last two columns are the edo's [[Sharpness|pentasharpness and sharpness]] respectively.


<div><div style="display: inline-grid; margin-right: 25px;">
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|+ style="font-size: 105%;" | Diatonic edos fit for chain-of-fifths notation
|+ Diatonic edos fit for chain-of-fifths notation
|-
|-
! Edo
! Edo
! Fifth
! Fifth
! Fifth-detuning <br> abs (¢), rel (%)
! Fifth-detuning<br />abs (¢), rel (%)
! Major <br> 2nd
! Major<br />2nd
! Minor <br> 2nd
! Minor<br />2nd
! Augmented <br> 1sn
! Augmented<br />1sn
|-
|-
! [[12edo| 12]]
! [[12edo| 12]]
Line 311: Line 311:
! [[99edo| 99]]
! [[99edo| 99]]
| 58 || +1.1 ( +8.9%) || 17 || 7 || 10
| 58 || +1.1 ( +8.9%) || 17 || 7 || 10
|}
|}</div>


<div style="display: inline-grid; margin-right: 25px;">
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|+ style="font-size: 105%;" | Diatonic edos fit for neutral chain-of-fifths notation
|+ Diatonic edos fit for neutral chain-of-fifths notation
|-
|-
! Edo
! Edo
! Fifth
! Fifth
! Fifth-detuning <br> abs (¢), rel (%)
! Fifth-detuning<br />abs (¢), rel (%)
! Major <br> 2nd
! Major<br />2nd
! Minor <br> 2nd
! Minor<br />2nd
! Augmented <br> 1sn
! Augmented<br />1sn
|-
|-
! [[17edo| 17]]
! [[17edo| 17]]
Line 394: Line 394:
|-
|-
! [[99edo| 99]]
! [[99edo| 99]]
| 58 || +1.1 ( +8.9%) || 17 || 7 || 10
| 58 || +1.1 (+8.9%) || 17 || 7 || 10
|}
|}
</div></div>


== Expansions ==
== Expansions ==
* [[Syntonic-rastmic subchroma notation]] – built on neutral chain-of-fifths notation
* [[Syntonic-rastmic subchroma notation]] &ndash; Built on neutral chain-of-fifths notation
* [[Ups and downs notation]] – built on chain-of-fifths notation
* [[Ups and downs notation]] &ndash; Built on chain-of-fifths notation
** Neutral ups and downs notation (&rarr; [[Alternative symbols for ups and downs notation]])
** Neutral ups and downs notation (&rarr; [[Alternative symbols for ups and downs notation]])
* [[Diamond-mos notation]] – built on neutral chain-of-fifths notation
* [[Diamond-mos notation]] &ndash; Built on neutral chain-of-fifths notation
* [[Sagittal notation]] (''evo flavor'') – built on chain-of-fifths notation or neutral chain-of-fifths notation
* [[Sagittal notation]] (''evo flavor'') &ndash; Built on chain-of-fifths notation or neutral chain-of-fifths notation
* [[Extended meantone notation]] – built on chain-of-fifths notation or neutral chain-of-fifths notation
* [[Extended meantone notation]] &ndash; Built on chain-of-fifths notation or neutral chain-of-fifths notation


== See also ==
== See also ==
Line 410: Line 411:
* [[Fifthspan]]
* [[Fifthspan]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]
* [[User:Xenwolf/cofn]] – sortable table with more intervals (all fifths within the interval [4\7, 3\5], the "[[diatonic range]]")
* [[User:Xenwolf/cofn]] &ndash; Sortable table with more intervals (all fifths within the interval [4\7, 3\5], the "[[diatonic range]]")


== Notes ==
== Notes ==
Retrieved from "https://en.xen.wiki/w/Chain-of-fifths_notation"