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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.


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.


Universal Solfege was invented by [[User:Nick Vuci|Nick Vuci]]. It builds on [[Margo Schulter|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.  
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.)


While the chart gives solfege syllables for 74 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, and solfege are ideally chosen in a heirarchy that prioritizes larger categories over smaller ones. For example, the "Small," "Medium," and "Large" categories aren't necessary unless a scale includes two kinds of an interval and the distinction is necessary. 
Finally, to quote Schulter:


When using MOS, the solfege 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 many contain more or less than 6 notes depending on the MOS.)
<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>


Finally, to quote Schulter: <blockquote>
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.  
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>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.  


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.
== Full gamut ==
A chart below lays things out:
A chart below lays things out:
{| class="wikitable"
{| class="wikitable"
Line 44: Line 49:
|i
|i
|-
|-
| rowspan="13" |Second
| rowspan="10" |Second
| rowspan="4" |Minor
| rowspan="3" |Minor
|
|60-125
|Sai
|saɪ
|-
|Small
|Small
|60-80
|60-80
Line 56: Line 56:
|saɪs
|saɪs
|-
|-
|Medium
|'''Middle'''
|80-100
|'''80-100'''
|Saim
|'''Sai'''
|saɪm
|'''saɪ'''
|-
|-
|Large
|Large
|100-125
|100-125
|Sail
|Sail
|saɪ
|saɪl
|-
| rowspan="4" |Neutral
|
|125-170
|Soo
|su
|-
|-
| rowspan="3" |Neutral
|Small
|Small
|125-135
|125-135
Line 77: Line 72:
|sus
|sus
|-
|-
|Medium
|'''Middle'''
|135-160
|'''135-160'''
|Soom
|'''Soo'''
|sum
|'''su'''
|-
|-
|Large
|Large
Line 92: Line 87:
|ha
|ha
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|180-240
|Say
|seɪ
|-
|Small
|Small
|180-200
|180-200
Line 103: Line 93:
|seɪs
|seɪs
|-
|-
|Medium
|'''Middle'''
|200-220
|'''200-220'''
|Saym
|'''Say'''
|seɪm
|'''seɪ'''
|-
|-
|Large
|Large
Line 118: Line 108:
|fɛ
|fɛ
|-
|-
| rowspan="12" |Thirds
| rowspan="9" |Thirds
| rowspan="4" |Minor
| rowspan="3" |Minor
|
|260-330
|Thai
|θaɪ
|-
|Small
|Small
|260-280
|260-280
Line 130: Line 115:
|θaɪs
|θaɪs
|-
|-
|Medium
|'''Middle'''
|280-300
|'''280-300'''
|Thaim
|'''Thai'''
|θaɪm
|'''θaɪ'''
|-
|-
|Large
|Large
Line 140: Line 125:
|θaɪl
|θaɪl
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|330-372
|Thoo
|θu
|-
|Small
|Small
|330-342
|330-342
Line 151: Line 131:
|θus
|θus
|-
|-
|Medium
|'''Middle'''
|342-360
|'''342-360'''
|Thoom
|'''Thoo'''
|θum
|'''θu'''
|-
|-
|Large
|Large
Line 161: Line 141:
|θul
|θul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|372-440
|Thay
|θeɪ
|-
|Small
|Small
|372-400
|372-400
Line 172: Line 147:
|θeɪs
|θeɪs
|-
|-
|Medium
|'''Middle'''
|400-423
|'''400-423'''
|Thaym
|'''Thay'''
|θeɪm
|'''θeɪ'''
|-
|-
|Large
|Large
Line 187: Line 162:
|kɛ
|kɛ
|-
|-
| colspan="2" rowspan="4" |Fourths
| colspan="2" rowspan="3" |Fourths
|
|468-528
|Fo
|fɔ
|-
|Small
|Small
|468-491
|468-491
Line 198: Line 168:
|fɔs
|fɔs
|-
|-
|Medium
|'''Middle'''
|491-505
|'''491-505'''
|Fom
|'''Fo'''
|fɔm
|'''fɔ'''
|-
|-
|Large
|Large
Line 213: Line 183:
|fu
|fu
|-
|-
| colspan="2" rowspan="4" |Tritones
| colspan="2" rowspan="3" |Tritones
|
|560-640
|Trai
|traɪ
|-
|Small
|Small
|560-577
|560-577
Line 224: Line 189:
|traɪs
|traɪs
|-
|-
|Medium
|'''Middle'''
|577-623
|'''577-623'''
|Traim
|'''Trai'''
|traɪm
|'''traɪ'''
|-
|-
|Large
|Large
Line 239: Line 204:
|fʌ
|fʌ
|-
|-
| colspan="2" rowspan="4" |Fifths
| colspan="2" rowspan="3" |Fifths
|
|640-732
|Fi
|fɪ
|-
|Small
|Small
|640-695
|640-695
Line 250: Line 210:
|fɪs
|fɪs
|-
|-
|Medium
|'''Middle'''
|695-709
|'''695-709'''
|Fim
|'''Fi'''
|fɪm
|'''fɪ'''
|-
|-
|Large
|Large
Line 265: Line 225:
|tɛ
|tɛ
|-
|-
| rowspan="12" |Sixths
| rowspan="9" |Sixths
| rowspan="4" |Minor
| rowspan="3" |Minor
|
|760-828
|Kai
|kaɪ
|-
|Small
|Small
|760-777
|760-777
Line 277: Line 232:
|kaɪs
|kaɪs
|-
|-
|Medium
|'''Middle'''
|777-800
|'''777-800'''
|Kaim
|'''Kai'''
|kaɪm
|'''kaɪ'''
|-
|-
|Large
|Large
Line 287: Line 242:
|kaɪl
|kaɪl
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|828-870
|Koo
|ku
|-
|Small
|Small
|828-840
|828-840
Line 298: Line 248:
|kus
|kus
|-
|-
|Medium
|'''Middle'''
|840-858
|'''840-858'''
|Koom
|'''Koo'''
|kum
|'''ku'''
|-
|-
|Large
|Large
Line 308: Line 258:
|kul
|kul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|870-940
|Kay
|keɪ
|-
|Small
|Small
|870-900
|870-900
Line 319: Line 264:
|keɪs
|keɪs
|-
|-
|Medium
|'''Middle'''
|900-920
|'''900-920'''
|Kaym
|'''Kay'''
|keɪm
|'''keɪ'''
|-
|-
|Large
|Large
Line 334: Line 279:
|twɛ
|twɛ
|-
|-
| rowspan="13" |Sevenths
| rowspan="10" |Sevenths
| rowspan="4" |Minor
| rowspan="3" |Minor
|
|960-1025
|Vai
|vaɪ
|-
|Small
|Small
|960-987
|960-987
Line 346: Line 286:
|vaɪs
|vaɪs
|-
|-
|Medium
|'''Middle'''
|987-1000
|'''987-1000'''
|Vaim
|'''Vai'''
|vaɪm
|'''vaɪ'''
|-
|-
|Large
|Large
Line 361: Line 301:
|hɒ
|hɒ
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|1030-1075
|Voo
|vu
|-
|Small
|Small
|1030-1043
|1030-1043
Line 372: Line 307:
|vus
|vus
|-
|-
|Medium
|'''Middle'''
|1043-1065
|'''1043-1065'''
|Voom
|'''Voo'''
|vum
|'''vu'''
|-
|-
|Large
|Large
Line 382: Line 317:
|vul
|vul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|1075-1140
|Vay
|veɪ
|-
|Small
|Small
|1075-1100
|1075-1100
Line 393: Line 323:
|veɪs
|veɪs
|-
|-
|Medium
|'''Middle'''
|1100-1120
|'''1100-1120'''
|Vaym
|'''Vay'''
|veɪm
|'''veɪ'''
|-
|-
|Large
|Large
Line 419: Line 349:
|}
|}


The Unison and the Octave (ie the "tonic") is always denoted with "A." (IPA: a)
The unison and the octave (i.e. the "tonic") is always denoted with "A." (IPA: a)


For the main intervals which do not have major or minor forms, we give the following syllables:
For the main intervals which do not have major or minor forms, we give the following syllables:
Line 436: Line 366:
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."
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 small medium and large versions, which we can denote with the consonant affixes "s" "m" and "l"
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."


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


* "O" and "Co" for the commatic ranges
* "O" and "Co" for the commatic ranges
Line 452: Line 382:
** "Twe" for semitwelfth  
** "Twe" for semitwelfth  


We will now show some examples of how this system can be used in practice.  
== Examples ==
We will now show some examples of how this system can be used in practice.
 
=== 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
|}
 
=== 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
|}


=== 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
|}
=== 24edo mosh (bish mode) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
! colspan="4" |<nowiki>24edo 3L4s 3|3</nowiki>
! colspan="3" |<nowiki>24edo 3L4s 3|3</nowiki>
|-
|-
!Cents
!Cents
!Solfege
!Solfege
!Interval name
!Interval name
!
|-
|-
|0
|0
|A  
|A
|Unison
|Unison
|
|-
|-
|150
|150
|Soo
|Soo
|Neutral Second
|Neutral Second
|
|-
|-
|350
|350
|Thoo
|Thoo
|Neutral Third
|Neutral Third
|
|-
|-
|500
|500
|Fo
|Fo
|Fourth
|Fourth
|
|-
|-
|700
|700
|Fi
|Fi
|Fifth
|Fifth
|
|-
|-
|850
|850
|Koo
|Koo
|Neutral Sixth
|Neutral Sixth
|
|-
|-
|1050
|1050
|Voo
|Voo
|Neutral Seventh
|Neutral Seventh
|
|-
|-
|1200
|1200
|A
|A
|Octave
|Octave
|
|}
|}
=== 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
|}
=== 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
|}
=== 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
|}
=== 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
|}
=== 13edo oneirotonic (Celephaïsian mode) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 516: Line 716:
|-
|-
|184.615
|184.615
|Say
|Says
|Major Second
|Small Major Second
|-
|-
|276.923
|276.923
|Thai
|Thais
|Minor Third
|Small Minor Third
|-
|-
|461.538
|461.538
|Nai
|Ke
|Semisixth
|Semisixth
|-
|-
Line 532: Line 732:
|-
|-
|738.462
|738.462
|Noo
|Te
|Semitenth
|Semitenth
|-
|-
|923.077
|923.077
|Kay
|Kayl
|Major Sixth
|Large Major Sixth
|-
|-
|1107.692
|1107.692
Line 543: Line 743:
|Major Seventh
|Major Seventh
|}
|}
== References ==
<references />
[[Category:Solfege]]
Retrieved from "https://en.xen.wiki/w/Universal_solfege"