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Universal solfege: Difference between revisions

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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.  
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.  


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.   
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.   


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.)  
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 many contain more or less than 6 notes depending on the MOS.)  


Finally, to quote Schulter: <blockquote>
Finally, to quote Schulter: <blockquote>
Line 44: Line 44:
|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 51:
|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 67:
|sus
|sus
|-
|-
|Medium
|'''Middle'''
|135-160
|'''135-160'''
|Soom
|'''Soo'''
|sum
|'''su'''
|-
|-
|Large
|Large
Line 92: Line 82:
|ha
|ha
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|180-240
|Say
|seɪ
|-
|Small
|Small
|180-200
|180-200
Line 103: Line 88:
|seɪs
|seɪs
|-
|-
|Medium
|'''Middle'''
|200-220
|'''200-220'''
|Saym
|'''Say'''
|seɪm
|'''seɪ'''
|-
|-
|Large
|Large
Line 118: Line 103:
|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 110:
|θaɪs
|θaɪs
|-
|-
|Medium
|'''Middle'''
|280-300
|'''280-300'''
|Thaim
|'''Thai'''
|θaɪm
|'''θaɪ'''
|-
|-
|Large
|Large
Line 140: Line 120:
|θaɪl
|θaɪl
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|330-372
|Thoo
|θu
|-
|Small
|Small
|330-342
|330-342
Line 151: Line 126:
|θus
|θus
|-
|-
|Medium
|'''Middle'''
|342-360
|'''342-360'''
|Thoom
|'''Thoo'''
|θum
|'''θu'''
|-
|-
|Large
|Large
Line 161: Line 136:
|θul
|θul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|372-440
|Thay
|θeɪ
|-
|Small
|Small
|372-400
|372-400
Line 172: Line 142:
|θeɪs
|θeɪs
|-
|-
|Medium
|'''Middle'''
|400-423
|'''400-423'''
|Thaym
|'''Thay'''
|θeɪm
|'''θeɪ'''
|-
|-
|Large
|Large
Line 187: Line 157:
|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 163:
|fɔs
|fɔs
|-
|-
|Medium
|'''Middle'''
|491-505
|'''491-505'''
|Fom
|'''Fo'''
|fɔm
|'''fɔ'''
|-
|-
|Large
|Large
Line 213: Line 178:
|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 184:
|traɪs
|traɪs
|-
|-
|Medium
|'''Middle'''
|577-623
|'''577-623'''
|Traim
|'''Trai'''
|traɪm
|'''traɪ'''
|-
|-
|Large
|Large
Line 239: Line 199:
|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 205:
|fɪs
|fɪs
|-
|-
|Medium
|'''Middle'''
|695-709
|'''695-709'''
|Fim
|'''Fim'''
|fɪm
|'''fɪ'''
|-
|-
|Large
|Large
Line 265: Line 220:
|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 227:
|kaɪs
|kaɪs
|-
|-
|Medium
|'''Middle'''
|777-800
|'''777-800'''
|Kaim
|'''Kai'''
|kaɪm
|'''kaɪ'''
|-
|-
|Large
|Large
Line 287: Line 237:
|kaɪl
|kaɪl
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|828-870
|Koo
|ku
|-
|Small
|Small
|828-840
|828-840
Line 298: Line 243:
|kus
|kus
|-
|-
|Medium
|'''Middle'''
|840-858
|'''840-858'''
|Koom
|'''Koo'''
|kum
|'''ku'''
|-
|-
|Large
|Large
Line 308: Line 253:
|kul
|kul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|870-940
|Kay
|keɪ
|-
|Small
|Small
|870-900
|870-900
Line 319: Line 259:
|keɪs
|keɪs
|-
|-
|Medium
|'''Middle'''
|900-920
|'''900-920'''
|Kaym
|'''Kay'''
|keɪm
|'''keɪ'''
|-
|-
|Large
|Large
Line 334: Line 274:
|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 281:
|vaɪs
|vaɪs
|-
|-
|Medium
|'''Middle'''
|987-1000
|'''987-1000'''
|Vaim
|'''Vai'''
|vaɪm
|'''vaɪ'''
|-
|-
|Large
|Large
Line 361: Line 296:
|hɒ
|hɒ
|-
|-
| rowspan="4" |Neutral
| rowspan="3" |Neutral
|
|1030-1075
|Voo
|vu
|-
|Small
|Small
|1030-1043
|1030-1043
Line 372: Line 302:
|vus
|vus
|-
|-
|Medium
|'''Middle'''
|1043-1065
|'''1043-1065'''
|Voom
|'''Voo'''
|vum
|'''vu'''
|-
|-
|Large
|Large
Line 382: Line 312:
|vul
|vul
|-
|-
| rowspan="4" |Major
| rowspan="3" |Major
|
|1075-1140
|Vay
|veɪ
|-
|Small
|Small
|1075-1100
|1075-1100
Line 393: Line 318:
|veɪs
|veɪs
|-
|-
|Medium
|'''Middle'''
|1100-1120
|'''1100-1120'''
|Vaym
|'''Vay'''
|veɪm
|'''veɪ'''
|-
|-
|Large
|Large
Line 436: Line 361:
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 377:
** "Twe" for semitwelfth  
** "Twe" for semitwelfth  


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


{| 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
|}
{| 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
|}
{| 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
|}
{| 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
|
|}
{| 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
|}
{| 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
|}
{| 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
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 516: Line 650:
|-
|-
|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 666:
|-
|-
|738.462
|738.462
|Noo
|Te
|Semitenth
|Semitenth
|-
|-
|923.077
|923.077
|Kay
|Kayl
|Major Sixth
|Large Major Sixth
|-
|-
|1107.692
|1107.692
Retrieved from "https://en.xen.wiki/w/Universal_solfege"