Harmonic functions in diminished ( whole-half ) and whole-tone scales

How should I label the harmonic functions of the main chords which can be extracted from each scale degree of the ‘diminished ( whole-half )’ and ‘whole-tone’ scales?

It is as PaulBuck said earlier, its not really clear if the chords “express function” at all in these scales. That is to say, i dont think any one particular chord could be considered ‘dominant’ or ‘leading’…they are all the same.

all the main triad chords which can be extracted from each scale degree of ‘diminished ( whole-half )’ are diminished ( 036 ) chords and all of the main triad chords which can be extracted from each scale degree of the ‘whole-tone’ scale are augmented ( 048 ) chords.

Should I still name each of the main triads drawn from each scale degree as usual?

i = tonic, ii = supertonic, iii = mediant, iv = subdominant, v = dominant, vi = submediant, vii = leading tone??

Should I still order them like you would see in a chord wheel… with IV I V being first layer triads, II III VI being second layer triads and VII as third layer triad? ( with third layer closest to the center of the wheel and first layer on the outer edge of the wheel ).

Please help if you know. I cant find the answer online.

Are they correctly labelled as below? :

C DIMINISHED [WHOLE - HALF] :

INTERVALS :

W H W H W H W H
M2 m3 P4 d5 m6 M6 M7 P8

MODES :

Mode 1 : C D Eb F Gb Ab A B

Mode 2 : D Eb F Gb Ab A B C

Mode 3 : Eb F Gb Ab A B C D

Mode 4 : F Gb Ab A B C D Eb

Mode 5 : Gb Ab A B C D Eb F

Mode 6 : Ab A B C D Eb F Gb

Mode 7 : A B C D Eb F Gb Ab

Mode 8 : B C D Eb F Gb Ab A

SCALE DEGREES :

Sequencer : C D D# F F# G# A B

1 2 b3 4 b5 b6 6 7

Traditional : C D Eb F Gb Ab A B

[b]HARMONIC FUNCTIONS :

iv - subdominant - ( diminished ) - F

i - tonic - ( diminished ) - C

bv - dominant - ( diminished ) - Gb

ii - supertonic - ( diminished ) - D

biii - mediant - ( diminished ) - Eb

bvi - submediant - ( diminished ) - Ab

vi - submediant - ( diminished ) - A

vii - leading tone - ( diminished ) - B[/b]


C WHOLE TONE :

INTERVALS :

W W W W W W
M2 M3 A4 A5 A6 P8

MODES :

Mode 1 : C D E F# G# A#

Mode 2 : D E F# G# A# C

Mode 3 : E F# G# A# C D

Mode 4 : F# G# A# C D E

Mode 5 : G# A# C D E F#

Mode 6 : A# C D E F# G#

SCALE DEGREES :

Sequencer : C D E F# G# A#

1 2 3 #4 #5 #6

Traditional : C D E F# G# A#

[b]HARMONIC FUNCTIONS :

#IV - subdominant - ( Augmented ) - F#

I - tonic - ( Augmented ) - C

#V - dominant - ( Augmented ) - G#

II - supertonic - ( Augmented ) - D

III - mediant - ( Augmented ) - E

#6 - submediant - ( Augmented ) - A#

( … VII … )[/b]