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=[[Expanding tonal space]]=
'''** THIS IS A WORK IN PROGRESS **'''<br>
<b>Exploring tonal space</b>
 
This article focuses on the steps required to apply the ''"Tonal Space"'' interval system to a novel musical keyboard instrument.
 
''Tonal Space'' is a concept of musical intonation control that incorporates all modes of the overtone scale while allowing free modulation through twelve chromatic keys. The four-part ''"[[Expanding tonal space|Expanding Tonal Space]]"'' series (Parts I through IV) explains the development of Tonal Space in detail.




'''** This page is being used for testing purposes only. **'''
=[[Expanding tonal space]]=
=[[Expanding tonal space/planar extensions]]=
=[[Expanding tonal space/planar extensions]]=
=[[Expanding tonal space/projections]]=
=[[Expanding tonal space/third dimension]]=
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=[[Expanding tonal space/projections]]=
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==== [[Expanding tonal space|Part I:]] <span style="font-size: 120%;">Expanding tonal space</span> ====
==== [[Expanding tonal space|Part I:]] <span style="font-size: 120%;">Expanding tonal space</span> ====
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==== [[Expanding tonal space|Part I:]] <span style="font-weight:normal">Expanding tonal space</span> ====
==== [[Expanding tonal space|Part I:]] <span style="font-weight:normal">Expanding tonal space</span> ====


'''Navigating tonal space'''


'''Navigating tonal space'''
[[File:Rob Ickes performing with Blue Highway California USA June 2010.jpg|thumb|180px|Rob Ickes performing with his band, Blue Highway, on June 21, 2010.]]


This article describes how to ...
[[File:Heather Leigh-0981.jpg|thumb|260px|Heather Leigh-0981]]
{| class="wikitable" style="text-align:center;"
|- style="background-color:#efefef;"
! Counting from <br />Mode 1 <br /> up to <br /> Mode n
! Number of <br />new intervals <br />found at <br />this mode
! Accumulated <br />number <br />of different  <br />rational intervals
! Total number<br />of intervals<br />scanned
! Mode<br />found in<br />octave<br />number
|-
| <br />16
| <br />8
| <br />79
| <br />120
| <br />5
|-
| <br />15
| <br />8
| <br />71
| <br />105
| <br />4
|-
| <br />14
| <br />6
| <br />63
| <br />91
| <br />4
|-
| <br />13
| <br />12
| <br />57
| <br />78
| <br />4
|-
| <br />12
| <br />4
| <br />45
| <br />66
| <br />4
|-
| <br />11
| <br />10
| <br />41
| <br />55
| <br />4
|-
| <br />10
| <br />4
| <br />31
| <br />45
| <br />4
|-
| <br />9
| <br />6
| <br />27
| <br />36
| <br />4
|-
| <br />8
| <br />4
| <br />21
| <br />28
| <br />4
|-
| <br />7
| <br />6
| <br />17
| <br />21
| <br />3
|-
| <br />6
| <br />2
| <br />11
| <br />15
| <br />3
|-
| <br />5
| <br />4
| <br />9
| <br />10
| <br />3
|-
| <br />4
| <br />2
| <br />5
| <br />6
| <br />3
|-
| <br />3
| <br />2
| <br />3
| <br />3
| <br />2
|-
| <br />2
| <br />1
| <br />1
| <br />1
| <br />2
|-
| <br />1
| <br />0
| <br />0
| <br />0
| <br />1
|}


[[File:Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75).jpg|thumb|260px|Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75)]]


[[File:Rob Ickes performing with Blue Highway California USA June 2010.jpg|thumb|180px|Rob Ickes performing with his band, Blue Highway, on June 21, 2010.]]
== Modern pedal steel (Header before audio controls, audio only) ==
[[File:Pedal steel played with reverb.ogg||270px]] A song played on an E9 pedal steel guitar.


''plane of tonal space''.
== Steel bar (Header before image of steel bar) ==
[[File:Steel bar (tonebar) used in playing steel guitar.jpg|thumb|180px|<u>Fig.2</u>: <ref>Eagledj, [https://creativecommons.org/licenses/by-sa/4.0 CC BY-SA 4.0 ], via [https://commons.wikimedia.org/wiki/File:Steel_bar_(tonebar)_used_in_playing_steel_guitar.jpg Wikimedia Commons]</ref> Steel bar (tonebar) used to play certain types of steel guitars.]]<br>


[[File:Heather Leigh-0981.jpg|thumb|260px|Heather Leigh-0981]]
== Text reference (attribution) ==
Eagledj, [https://creativecommons.org/licenses/by-sa/4.0 CC BY-SA 4.0], via [https://commons.wikimedia.org/wiki/File:Steel_bar_(tonebar)_used_in_playing_steel_guitar.jpg Wikimedia Commons]


[[File:Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75).jpg|thumb|260px|Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75)]]
== Infotext ==
'''** THIS IS A WORK IN PROGRESS **'''<br>
<b>Expanding tonal space/third dimension</b>


==See also…==
== See also… ==
Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.  
Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.  
[p65, ''3.7. Overtone Scales'']
[p65, ''3.7. Overtone Scales'']<br><br>