Harmonotonic tuning: Difference between revisions

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irrational

|-

! rowspan="17" |'''tuning'''

! rowspan="19" |'''tuning'''

'''shape'''

! rowspan="6" |'''decreasing'''

! rowspan="7" |'''decreasing'''

'''step size'''

!~~open-ended~~

! rowspan="2" |basic

|'''[[Overtone series|overtone series, or harmonic series]]'''

!

! rowspan="2" |

|[[AFS|'''shifted overtone series''' (± frequency) ''(equivalent to AFS)'']]

| rowspan="2" |[[AFS|'''irrationally shifted overtone series''' (± frequency) ''(equivalent to AFS)'']]

!

! rowspan="2" |

| [[Powharmonic series|'''stretched/compressed overtone series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'']]

| rowspan="2" | [[Powharmonic series|'''stretched/compressed overtone series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'']]

|-

|[[OS|'''rationally shifted overtone series''' (± frequency) ''(equivalent to OS)'']]

|-

! rowspan="2" |division

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! rowspan="3" |'''equal'''

'''step size'''

!~~open-ended~~

!basic

|'''1D [[Harmonic Lattice Diagram|JI lattice]]'''

!

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! colspan="7" |

|-

! rowspan="6" |'''increasing'''

! rowspan="7" |'''increasing'''

'''step size'''

!~~open-ended~~

! rowspan="2" |basic

|'''[[wikipedia:Undertone_series|undertone series, or subharmonic series]]'''

!

! rowspan="2" |

|[[ALS|'''shifted undertone series''' (± frequency) ''(equivalent to ALS)'']]

| rowspan="2" |[[ALS|'''irrationally shifted undertone series''' (± frequency) ''(equivalent to ALS)'']]

!

! rowspan="2" |

|[[Powharmonic series|'''stretched/compressed undertone series''' (exponentiated frequency, multiplied pitch) ''(equivalent to subpowharmonic series)'']]

|-

|[[US|'''rationally shifted undertone series''' (± frequency) ''(equivalent to US)'']]

|

|-

! rowspan="2" |division

@@ Line 134: / Line 134: @@
 irrational
 |-
-! rowspan="17" |'''tuning'''
+! rowspan="19" |'''tuning'''
 '''shape'''
-! rowspan="6" |'''decreasing'''
+! rowspan="7" |'''decreasing'''
 '''step size'''
-!open-ended
+! rowspan="2" |basic
 |'''[[Overtone series|overtone series, or harmonic series]]'''
-!
+! rowspan="2" |
-|[[AFS|'''shifted overtone series''' (± frequency) ''(equivalent to AFS)'']]
+| rowspan="2" |[[AFS|'''irrationally shifted overtone series''' (± frequency) ''(equivalent to AFS)'']]
-!
+! rowspan="2" |
-| [[Powharmonic series|'''stretched/compressed overtone series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'']]
+| rowspan="2" | [[Powharmonic series|'''stretched/compressed overtone series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'']]
+|-
+|[[OS|'''rationally shifted overtone series''' (± frequency) ''(equivalent to OS)'']]
 |-
 ! rowspan="2" |division
@@ Line 174: / Line 176: @@
 ! rowspan="3" |'''equal'''
 '''step size'''
-!open-ended
+!basic
 |'''1D [[Harmonic Lattice Diagram|JI lattice]]'''
 !
@@ Line 195: / Line 197: @@
 ! colspan="7" |
 |-
-! rowspan="6" |'''increasing'''
+! rowspan="7" |'''increasing'''
 '''step size'''
-!open-ended
+! rowspan="2" |basic
 |'''[[wikipedia:Undertone_series|undertone series, or subharmonic series]]'''
-!
+! rowspan="2" |
-|[[ALS|'''shifted undertone series''' (± frequency) ''(equivalent to ALS)'']]
+| rowspan="2" |[[ALS|'''irrationally shifted undertone series''' (± frequency) ''(equivalent to ALS)'']]
-!
+! rowspan="2" |
 |[[Powharmonic series|'''stretched/compressed undertone series''' (exponentiated frequency, multiplied pitch)  ''(equivalent to subpowharmonic series)'']]
+|-
+|[[US|'''rationally shifted undertone series''' (± frequency) ''(equivalent to US)'']]
+|
 |-
 ! rowspan="2" |division