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WORK IN PROGRESS
{{Mbox|type=notice|text=WORK IN PROGRESS}}
{{Distinguish|Uniform solfege}}


'''Universal solfege'''{{idiosyncratic}} was invented by [[User:Nick Vuci|Nick Vuci]]. It builds on [[Margo Schulter]]'s [https://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt "Regions of the Interval Spectrum"] to create a systematic solfege which can be applied to a variety of microtonal scales.


Universal Solfege was invented by Nick Vuci. It builds on the work of Margo Schulter to create a systematic solfege which can be applied to a variety of microtonal scales.  
The principle is that we can divide the interval spectrum into discrete areas which can then be used to take subsets for most microtonal scales we can imagine (although it works best with scales that have around 5-9 notes). It's not an exhaustive solution but a practical and practicible one.


While the chart gives solfege syllables for 59 distinct intervals, the entire gamut is not meant to be used in one instance. Instead it is meant to be used via selection of a subset relevant to a main scale.


The principle is that we can divide the interval spectrum into discreet areas which can then be used to take subsets for most microtonal scales we can imagine. It's not an exhaustive solution but a practical and practicible one.  
When using MOS, the system can be used in conjunction with "hexachords" to create a microtonal "hexachordal solfeggio." (Of course, "hexachord" is the common term but here it is insufficient since the set may contain more or less than 6 notes depending on the MOS.)


When we look at the spectrum of the octave we find that we have a few main interval classes, which we denote with consonants that are evocative and distinct to the names of the interval classes:
Finally, to quote Schulter:


The Unison and the Octave, which we denote with "A"
<blockquote>A main caution is that the borders are inevitably "fuzzy," so that one region shades into another and suggested values in cents are more illustrative than definitive.<ref>https://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt</ref></blockquote>


The Seconds, which we denote with "S-"
This means that ultimately you should define the intervals as you hear them and as they function to you, not necessarily as they strictly fall on this chart. If a scale contains an interval that is 259 cents, but you hear it as a minor third in context, then give it the solfege syllable of a minor third instead of a semifourth.


The Thirds, which we denote with "Th-"
Furthermore, if desired the middle range of each category (distinguished in bold) may be used primarily if finer subdivisions aren't required for a scale.


The Fourths, which we denote with "Fo-"
== Full gamut ==
A chart below lays things out:
{| class="wikitable"
!Interval
!Class
!Subcategory
!Cent Range
!Solfege
!IPA
|-
|Unison
|
|
|0
|A
|a
|-
|Comma
|
|
|0-30
|O
|ɒ
|-
|Dieses
|
|
|30-60
|Ee
|i
|-
| rowspan="10" |Second
| rowspan="3" |Minor
|Small
|60-80
|Sais
|saɪs
|-
|'''Middle'''
|'''80-100'''
|'''Sai'''
|'''saɪ'''
|-
|Large
|100-125
|Sail
|saɪl
|-
| rowspan="3" |Neutral
|Small
|125-135
|Soos
|sus
|-
|'''Middle'''
|'''135-160'''
|'''Soo'''
|'''su'''
|-
|Large
|160-170
|Sool
|sul
|-
| colspan="2" |Equable Heptatonic
|160-182
|Ha
|ha
|-
| rowspan="3" |Major
|Small
|180-200
|Says
|seɪs
|-
|'''Middle'''
|'''200-220'''
|'''Say'''
|'''seɪ'''
|-
|Large
|220-240
|Sayl
|seɪl
|-
| colspan="3" |Semifourth (Interseptimal Maj2-min3)     
|240-260
|Fe
|fɛ
|-
| rowspan="9" |Thirds
| rowspan="3" |Minor
|Small
|260-280
|Thais
|θaɪs
|-
|'''Middle'''
|'''280-300'''
|'''Thai'''
|'''θaɪ'''
|-
|Large
|300-330
|Thail
|θaɪl
|-
| rowspan="3" |Neutral
|Small
|330-342
|Thoos
|θus
|-
|'''Middle'''
|'''342-360'''
|'''Thoo'''
|'''θu'''
|-
|Large
|360-372
|Thool
|θul
|-
| rowspan="3" |Major
|Small
|372-400
|Thays
|θeɪs
|-
|'''Middle'''
|'''400-423'''
|'''Thay'''
|'''θeɪ'''
|-
|Large
|423-440
|Thayl
|θeɪl
|-
| colspan="3" |Semisixth (Interseptimal Maj3-4)
|440-468
|Ke
|kɛ
|-
| colspan="2" rowspan="3" |Fourths
|Small
|468-491
|Fos
|fɔs
|-
|'''Middle'''
|'''491-505'''
|'''Fo'''
|'''fɔ'''
|-
|Large
|505-528
|Fol
|fɔl
|-
| colspan="3" |Superfourths
|528-560
|Foo
|fu
|-
| colspan="2" rowspan="3" |Tritones
|Small
|560-577
|Trais
|traɪs
|-
|'''Middle'''
|'''577-623'''
|'''Trai'''
|'''traɪ'''
|-
|Large
|623-640
|Trail
|traɪl
|-
| colspan="3" |Subfifths
|640-672
|Fu
|fʌ
|-
| colspan="2" rowspan="3" |Fifths
|Small
|640-695
|Fis
|fɪs
|-
|'''Middle'''
|'''695-709'''
|'''Fi'''
|'''fɪ'''
|-
|Large
|709-732
|Fil
|fɪl
|-
| colspan="3" |Semitenth (Interseptimal 5-min6)
|732-760
|Te
|tɛ
|-
| rowspan="9" |Sixths
| rowspan="3" |Minor
|Small
|760-777
|Kais
|kaɪs
|-
|'''Middle'''
|'''777-800'''
|'''Kai'''
|'''kaɪ'''
|-
|Large
|800-828
|Kail
|kaɪl
|-
| rowspan="3" |Neutral
|Small
|828-840
|Koos
|kus
|-
|'''Middle'''
|'''840-858'''
|'''Koo'''
|'''ku'''
|-
|Large
|858-870
|Kool
|kul
|-
| rowspan="3" |Major
|Small
|870-900
|Kays
|keɪs
|-
|'''Middle'''
|'''900-920'''
|'''Kay'''
|'''keɪ'''
|-
|Large
|920-940
|Kayl
|keɪl
|-
| colspan="3" |(Semitwelfth Interseptimal Maj6-min7)
|940-960
|Twe
|twɛ
|-
| rowspan="10" |Sevenths
| rowspan="3" |Minor
|Small
|960-987
|Vais
|vaɪs
|-
|'''Middle'''
|'''987-1000'''
|'''Vai'''
|'''vaɪ'''
|-
|Large
|1000-1025
|Vail
|vaɪl
|-
| colspan="2" |Equable heptatonic
|1018-1040
|Ho
|hɒ
|-
| rowspan="3" |Neutral
|Small
|1030-1043
|Voos
|vus
|-
|'''Middle'''
|'''1043-1065'''
|'''Voo'''
|'''vu'''
|-
|Large
|1065-1075
|Vool
|vul
|-
| rowspan="3" |Major
|Small
|1075-1100
|Vays
|veɪs
|-
|'''Middle'''
|'''1100-1120'''
|'''Vay'''
|'''veɪ'''
|-
|Large
|1120-1140
|Vayl
|veɪl
|-
| colspan="3" |Octave less diesis
|1140-1170
|Dee
|di
|-
| colspan="3" |Octave less comma
|1170-1200
|Co
|kɒ
|-
| colspan="3" |Octave
|1200
|A
|a
|}


The Tritones, which we denote with "Trai-"
The unison and the octave (i.e. the "tonic") is always denoted with "A." (IPA: a)


The Fifths, which we denote with "Fi-"
For the main intervals which do not have major or minor forms, we give the following syllables:


The Sixths, which we denote with "X-"
* "Fo" for fourths
* "Trai" for tritones
* "Fi" for fifths


The Sevenths, which we denote with "V-"
For the main intervals which have major, neutral, and minor versions we assign evocative and distinct consonant affixes:


Of these, the seconds, thirds, sixths, and sevenths have major, neutral, and minor versions, which we can denote with the vowels "ay" "oo" and "ai" (mimicking the distinct vowels of the words "major" "neutral" and "minor").
* "S-" for seconds
* "Th-" for thirds
* "K-" for sixths
* "V-" for sevenths


All of the main categories have small medium and large versions, which we can denote with the consonant affixes "s" "m" and "l"
To denote major, neutral, and minor versions of these intervals we add the vowels "ay" "oo" and "ai" (IPA "eɪ," "u," and "aɪ") which mimic the distinct vowels of the words "major," "neutral," and "minor."


All of these main categories have primary versions (which can optionally be specified as the "middle" version) but also small and large versions, which we can denote with the consonant suffixes "s" and "l."


The further, more esoteric categories do not have major, minor, neutral, large, medium, or small versions. They are:
For the more esoteric categories we do not do not have major, minor, neutral, nor do we have large or small versions. These are denoted as follows:


Commatic ranges, which we denote with "O" and "Co"
* "O" and "Co" for the commatic ranges
* "Ee" and "Dee" for the dieses ranges
* "Foo" for the superfourth range
* "Fu" for the subfifth range
* "Ha" and Hoo" for the higher and lower equable heptatonic ranges  


The dieses range, which we denote with "Ee" and "Dee"
* The four interseptimal ranges
** "Fe" for semifourth
** "Ke" for semisixth
** "Te" for semitenth
** "Twe" for semitwelfth


The Superfourth range, "Foo"
== Examples ==
We will now show some examples of how this system can be used in practice. 


The Subfifth range, "Fu"
=== 12edo diatonic (major mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>12edo 5L2s 5|1</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|200
|Say
|Major Second
|-
|400
|Thay
|Major Third
|-
|500
|Fo
|Fourth
|-
|700
|Fi
|Fifth
|-
|900
|Kay
|Major Sixth
|-
|1100
|Vay
|Major Seventh
|-
|1200
|A
|Octave
|}


The two equable heptatonic ranges, "Ha" and Hoo"  
=== 31edo diatonic (major mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>31edo 5L2s 5|1</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|193.548
|Says
|Small Major Second
|-
|387.097
|Thays
|Small Major Third
|-
|503.226
|Fo
|Fourth
|-
|696.774
|Fi
|Fifth
|-
|890.323
|Kays
|Small Major Sixth
|-
|1083.871
|Vays
|Small Major Seventh
|-
|1200
|A
|Octave
|}


The four interseptimal ranges, which may be further broken down into
=== 31edo mosh (bish mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>31edo 3L4s 3|3</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|154.839
|Soo
|Neutral Second
|-
|348.387
|Thoo
|Neutral Third
|-
|503.226
|Fo
|Fourth
|-
|696.774
|Fi
|Fifth
|-
|851.613
|Koo
|Neutral Sixth
|-
|1045.161
|Voo
|Neutral Seventh
|-
|1200
|A
|Octave
|}


two categories:
=== 24edo mosh (bish mode) ===
{| class="wikitable"
|+
! colspan="3" |<nowiki>24edo 3L4s 3|3</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|150
|Soo
|Neutral Second
|-
|350
|Thoo
|Neutral Third
|-
|500
|Fo
|Fourth
|-
|700
|Fi
|Fifth
|-
|850
|Koo
|Neutral Sixth
|-
|1050
|Voo
|Neutral Seventh
|-
|1200
|A
|Octave
|}


The two interseptimals which touch perfect intervals, denoted as Na Noo
=== 24edo manual (medial mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>24edo 4L1s 2|2</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|250
|Fe
|Semifourth
|-
|500
|Fo
|Fourth
|-
|700
|Fi
|Fifth
|-
|950
|Twe
|Semitwelfth
|-
|1200
|A
|Octave
|}


The two which do not, Ni Nee
=== 19edo manual (medial mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>19edo 4L1s 2|2</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|252.632
|Fe
|Semifourth
|-
|505.263
|Fol
|Large Fourth
|-
|694.737
|Fis
|Small Fifth
|-
|947.368
|Twe
|Semitwelfth
|-
|1200
|A
|Octave
|}


Pure unison (1:1)           0 cents A
=== 19edo diatonic (major mode) ===
{| class="wikitable"
! colspan="3" |<nowiki>19edo 5L2s 5|1</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|189.474
|Says
|Small Major Second
|-
|378.947
|Thays
|Small Major Third
|-
|505.263
|Fol
|Large Fourth
|-
|694.737
|Fis
|Small Fifth
|-
|884.211
|Kays
|Small Major Sixth
|-
|1073.684
|Vool
|Large Neutral Seventh
|-
|1200
|A
|Octave
|}


Commas                   0-30 cents          O
=== Harmonics 8::16 ===
{| class="wikitable"
! colspan="3" |Harmonics 8::16
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|203.91
|Say
|Major Second
|-
|386.314
|Thays
|Small Major Third
|-
|551.318
|Foo
|Superfourth
|-
|701.955
|Fi
|Fifth
|-
|840.528
|Koo
|Neutral Sixth
|-
|968.826
|Vais
|Small Minor Seventh
|-
|1088.269
|Vays
|Small Major Seventh
|-
|1200
|A
|Octave
|}


Dieses                  30-60 cents        Ee
=== 13edo oneirotonic (Celephaïsian mode) ===
{| class="wikitable"
|+
! colspan="3" |<nowiki>13edo 5L3s 5|2</nowiki>
|-
!Cents
!Solfege
!Interval name
|-
|0
|A
|Unison
|-
|184.615
|Says
|Small Major Second
|-
|276.923
|Thais
|Small Minor Third
|-
|461.538
|Ke
|Semisixth
|-
|646.154
|Fu
|Subfifth
|-
|738.462
|Te
|Semitenth
|-
|923.077
|Kayl
|Large Major Sixth
|-
|1107.692
|Vay
|Major Seventh
|}


Minor seconds          60-125 cents        Sai
== References ==
<references />


        small              60-80 cents Sais
[[Category:Solfege]]
 
        middle             80-100 cents Saim
 
        large             100-125 cents Sail
 
Neutral seconds       125-170 cents        Soo
 
        small              125-135 cents Soos
 
        middle             135-160 cents Soom
 
        large              160-170 cents Sool
 
Equable heptatonic
 
(heartland range)     160-182 cents        Ha
 
Major seconds
 
(or tones)            180-240 cents        Say
 
        small              180-200 cents        Says
 
        middle             200-220 cents Saym
 
        large              220-240 cents Sayl
 
Interseptimal
 
(Maj2-min3)           240-260 cents        Ni
 
Minor thirds          260-330 cents        Thai
 
        small              260-280 cents Thais
 
        middle             280-300 cents Thaim
 
        large              300-330 cents Thail
 
Neutral thirds        330-372 cents        Thoo
 
        small              330-342 cents Thoos
 
        middle             342-360 cents Thoom
 
        large              360-372 cents Thool
 
Major thirds          372-440 cents        Thay
 
        small              372-400 cents Thays
 
        middle             400-423 cents Thaym
 
        large              423-440 cents Thayl
 
Interseptimal         440-468 cents        Na
 
(Maj3-4)
 
Perfect fourths       468-528 cents        Fo
 
        small              468-491 cents Fos
 
        middle             491-505 cents Fom
 
        large              505-528 cents Fol
 
       
 
Superfourths          528-560 cents Foo
 
Tritonic region       560-640 cents        Trai
 
        small              560-577 cents Trais
 
        middle             577-623 cents Traim
 
        large              623-640 cents Trail
 
Subfifths             640-672 cents Fu
 
Perfect fifths        640-732 cents        Fi
 
        small              640-695 cents Fis
 
        middle             695-709 cents Fim
 
        large              709-732 cents Fil
 
Interseptimal         732-760 cents        Noo
 
(5-min6)
 
Minor sixths          760-828 cents        Kai
 
        small              760-777 cents Kais
 
        middle             777-800 cents Kaim
 
        large              800-828 cents Kail
 
Neutral sixths        828-870 cents        Koo
 
        small              828-840 cents Koos
 
        middle             840-858 cents Koom
 
        large              858-870 cents Kool
 
Major sixths          870-940 cents        Kay
 
        small              870-900 cents Kays
 
        middle             900-920 cents Kaym
 
        large              920-940 cents Kayl
 
Interseptimal         940-960 cents        Nee
 
(Maj6-min7)
 
Minor sevenths       960-1025 cents        Vai
 
        small              960-987 cents Vais
 
        middle            987-1000 cents Vaim
 
        large            1000-1025 cents Vail
 
Equable heptatonic  1018-1040 cents        Ho
 
(heartland range)
 
Neutral sevenths    1030-1075 cents        Voo
 
        small            1030-1043 cents Voos
 
        middle           1043-1065 cents Voom
 
        large            1065-1075 cents Vool
 
Major sevenths      1075-1140 cents        Vay
 
        small            1075-1100 cents Vays
 
        middle           1100-1120 cents Vaym
 
        large            1120-1140 cents Vayl
 
Octave less diesis  1140-1170 cents        Eed
 
Octave less comma   1170-1200 cents        Oc
 
Pure octave (2:1)        1200 cents A
 
 
 
Example: 13edo 5L3s 5|2
 
0 A
 
184.615 Say
 
276.923 Thai
 
461.538 Ni
 
646.154 Fu
 
738.462 Ni
 
923.077 ka
 
1107.692 Va
 
1200. A
Retrieved from "https://en.xen.wiki/w/Universal_solfege"