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Overtone scale: Difference between revisions

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→A solfege system: added my uniform solfege
Line 172: Line 172:
[[Primodality]] involves the use of large prime modes of the harmonic series.  
[[Primodality]] involves the use of large prime modes of the harmonic series.  


== A solfege system ==
== Solfege systems ==


[[Andrew Heathwaite]] proposes a solfege system for harmonics 16-32 (Mode 16):
[[Andrew Heathwaite]] proposes a solfege system for harmonics 16-32 (Mode 16):
Line 238: Line 238:
Thus, the pentatonic scale in the example at the top (Mode 5) could be sung: '''mi sol ta do re mi'''
Thus, the pentatonic scale in the example at the top (Mode 5) could be sung: '''mi sol ta do re mi'''


== Twelve scales ==
[[Kite Giedraitis]] proposes a solfege for harmonics 16-32 based on his [[Uniform solfege|uniform solfeges]]. This solfege is easy to remember because there is a uniform vowel sequence for each degree: -o (-i) -a. These vowels stand for d'''<u>o</u>'''wn, m'''<u>i</u>'''d and pl'''<u>a</u>'''in.


For those interested in learning to sing and hear just intervals, here are twelve of the simplest otonal scales to try. I leave it up to the curious learner to decide the value, beauty, or usefulness of these particular scales for their compositional purposes.
{| class="wikitable"
|harmonic
|16
|17
|18
|19
|20
|21
|22
|23
|24
|25
|26
|27
|28
|29
|30
|31
|32
|-
| JI ratio
| 1/1
| 17/16
| 9/8
| 19/16
| 5/4
| 21/16
| 11/8
| 23/16
| 3/2
| 25/16
| 13/8
| 27/16
| 7/4
| 29/16
| 15/8
| 31/16
| 2/1
|-
| solfege
| '''da'''
| '''ro'''
| '''ra'''
| '''mo'''
| '''ma'''
| '''fo'''
| '''fa'''
| '''so'''
| '''sa'''
| '''lo'''
| '''li'''
| '''la'''
| '''to'''
| '''ti'''
| '''ta'''
| '''do'''
| '''da'''
|}
 
== Eight scales ==
 
Here are eight simple otonal scales.


{| class="wikitable"
{| class="wikitable"
|+Harmonic series scales using Andrew's solfege
|-
|-
|  
|  
|  
|  
| 1
| 2
| 3
| 4
| 5
| 5
| 6
| 6
Line 271: Line 329:
| 24
| 24
|-
|-
| Mode 1
| Mode 5
| 1-note
| 5-note
| '''do'''
|'''mi'''
| '''do'''
|'''sol'''
|'''ta'''
|'''do'''
|'''re'''
|'''mi'''
|  
|  
|  
|  
Line 289: Line 351:
|  
|  
|  
|  
|-
| Mode 6
| 6-note
|  
|  
|'''sol'''
|'''ta'''
|'''do'''
|'''re'''
|'''mi'''
|'''fu'''
|'''sol'''
|  
|  
|  
|  
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|  
|  
|  
|  
|-
| Mode 2
| 2-note
|  
|  
| '''do'''
| '''sol'''
| '''do'''
|  
|  
|  
|  
|  
|  
|  
|  
|-
| Mode 7
| 7-note
|  
|  
|  
|  
|'''ta'''
|'''do'''
|'''re'''
|'''mi'''
|'''fu'''
|'''sol'''
|'''lu'''
|'''ta'''
|  
|  
|  
|  
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|  
|  
|  
|  
|-
| Mode 8
| 8-note
|  
|  
|  
|  
|  
|  
|'''do'''
|'''re'''
|'''mi'''
|'''fu'''
|'''sol'''
|'''lu'''
|'''ta'''
|'''ti'''
|'''do'''
|  
|  
|-
| Mode 3
| 3-note
|  
|  
|  
|  
| '''sol'''
| '''do'''
| '''mi'''
| '''sol'''
|  
|  
|  
|  
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|  
|  
|  
|  
|-
| Mode 9
| 9-note
|  
|  
|  
|  
|  
|  
|  
|  
|'''re'''
|'''mi'''
|'''fu'''
|'''sol'''
|'''lu'''
|'''ta'''
|'''ti'''
|'''do'''
|'''ra'''
|'''re'''
|  
|  
|  
|  
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|  
|  
|  
|  
|-
| Mode 10
| 10-note
|  
|  
|  
|  
|  
|  
|-
| Mode 4
| 4-note
|  
|  
|  
|  
|'''mi'''
|'''fu'''
|'''sol'''
|'''lu'''
|'''ta'''
|'''ti'''
|'''do'''
|'''ra'''
|'''re'''
|'''me'''
|'''mi'''
|  
|  
| '''do'''
| '''mi'''
| '''sol'''
| '''ta'''
| '''do'''
|  
|  
|  
|  
|  
|  
|-
| Mode 11
| 11-note
|  
|  
|  
|  
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|  
|  
|  
|  
|'''fu'''
|'''sol'''
|'''lu'''
|'''ta'''
|'''ti'''
|'''do'''
|'''ra'''
|'''re'''
|'''me'''
|'''mi'''
|'''fe'''
|'''fu'''
|  
|  
|  
|  
|-
| Mode 12
| 12-note
|  
|  
|  
|  
Line 378: Line 497:
|  
|  
|  
|  
|-
| Mode 5
| 5-note
|  
|  
|  
|  
|'''sol'''
|'''lu'''
|'''ta'''
|'''ti'''
|'''do'''
|'''ra'''
|'''re'''
|'''me'''
|'''mi'''
|'''fe'''
|'''fu'''
|'''su'''
|'''sol'''
|}
{| class="wikitable"
|+Harmonic series scales using Kite's solfege
|-
|  
|  
|  
|  
| '''mi'''
| 5
| '''sol'''
| 6
| '''ta'''
| 7
| '''do'''
| 8
| '''re'''
| 9
| '''mi'''
| 10
| 11
| 12
| 13
| 14
| 15
| 16
| 17
| 18
| 19
| 20
| 21
| 22
| 23
| 24
|-
| Mode 5
| 5-note
| '''ma'''
| '''sa'''
| '''to'''
|'''da'''
|'''ra'''
|'''ma'''
|  
|  
|  
|  
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| 6-note
| 6-note
|  
|  
|
|'''sa'''
|
|'''to'''
|
|'''da'''
|
|'''ra'''
| '''sol'''
|'''ma'''
| '''ta'''
|'''fa'''
| '''do'''
| '''sa'''
| '''re'''
| '''mi'''
| '''fu'''
| '''sol'''
|  
|  
|  
|  
Line 437: Line 589:
|  
|  
|  
|  
|
|'''to'''
|
|'''da'''
|
|'''ra'''
|
|'''ma'''
| '''ta'''
|'''fa'''
| '''do'''
| '''sa'''
| '''re'''
|'''li'''
| '''mi'''
|'''to'''
| '''fu'''
| '''sol'''
| '''lu'''
| '''ta'''
|  
|  
|  
|  
Line 465: Line 613:
|  
|  
|  
|  
|
|'''da'''
|
|'''ra'''
|
|'''ma'''
|
|'''fa'''
| '''do'''
| '''sa'''
| '''re'''
|'''li'''
| '''mi'''
|'''to'''
| '''fu'''
|'''ta'''
| '''sol'''
|'''da'''
| '''lu'''
| '''ta'''
| '''ti'''
| '''do'''
|  
|  
|  
|  
Line 493: Line 637:
|  
|  
|  
|  
|
|
|
|
| '''re'''
| '''mi'''
| '''fu'''
| '''sol'''
| '''lu'''
| '''ta'''
| '''ti'''
| '''do'''
| '''ra'''
| '''ra'''
| '''re'''
|'''ma'''
|'''fa'''
| '''sa'''
|'''li'''
|'''to'''
|'''ta'''
|'''da'''
|'''ro'''
|'''ra'''
|  
|  
|  
|  
Line 521: Line 661:
|  
|  
|  
|  
|
| '''ma'''
|
|'''fa'''
|
| '''sa'''
|
|'''li'''
| '''mi'''
|'''to'''
| '''fu'''
|'''ta'''
| '''sol'''
|'''da'''
| '''lu'''
|'''ro'''
| '''ta'''
|'''ra'''
| '''ti'''
|'''mo'''
| '''do'''
|'''ma'''
| '''ra'''
| '''re'''
| '''me'''
| '''mi'''
|  
|  
|  
|  
Line 549: Line 685:
|  
|  
|  
|  
|
|'''fa'''
|
| '''sa'''
|
|'''li'''
|
|'''to'''
| '''fu'''
|'''ta'''
| '''sol'''
|'''da'''
| '''lu'''
|'''ro'''
| '''ta'''
|'''ra'''
| '''ti'''
|'''mo'''
| '''do'''
|'''ma'''
| '''ra'''
|'''fo'''
| '''re'''
|'''fa'''
| '''me'''
| '''mi'''
| '''fe'''
| '''fu'''
|  
|  
|  
|  
Line 577: Line 709:
|  
|  
|  
|  
|
| '''sa'''
|
|'''li'''
|
|'''to'''
|
|'''ta'''
| '''sol'''
|'''da'''
| '''lu'''
|'''ro'''
| '''ta'''
|'''ra'''
| '''ti'''
|'''mo'''
| '''do'''
|'''ma'''
| '''ra'''
|'''fo'''
| '''re'''
|'''fa'''
| '''me'''
|'''so'''
| '''mi'''
|'''sa'''
| '''fe'''
| '''fu'''
| '''su'''
| '''sol'''
|}
|}


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