Archive for the ‘Cadence’ Category

17 edo chord progressions and cadences

Wednesday, December 9th, 2015

129a
I – IV 2nd inversion ii V 2nd I The word inversion will be considered understood going forward and see note at bottom for score notation information.
129b
I 2nd inv IV 1st ii 2nd V 1st
129c
I IV 2nd ii V 2nd iii vi 2nd IV vii°7 2nd I 1st
129d
I IV 2nd ii V 2nd iii vi 2nd IV V°7 2nd I 1st
129e
I IV neutral 3 V7 I
129f
I IV neutral 3 V7 no third 2nd I
129g
I7 IV 2nd V 3rd I
129h
I7 IV7 2nd V7 2nd I

NOTE: all examples are scordatura – if you have software in 17 notes per octave and play these notes on a regular keyboard you will get these progressions.
The trade off is one of sacrificing clear notation for playability

the full set of examples

17 edo I-IV-V Cadences

Tuesday, December 8th, 2015

17triads
17 edo triads – framed in a perfect fifth are sus2 (212 cents), minor (282 cents), neutral (353 cents), major (424 cents), sus4 (494 cents) and then walked back down ending on a resolution of the sus4 – more on 17 edo
NOTE: all examples are scordatura – if you have software in 17 notes per octave and play these notes on a regular keyboard you will get these progressions.
The trade off is one of sacrificing clear notation for playability
145a
I root -IV 2nd inversion – V 1st inversion – I root
145b
I root -IV 2nd inversion – V7 1st inversion – I root
145c
I 1st -IV root – V 1st – I 2nd – IV 1st – V 1st (sorry for the missed F# – should be Gb)
145d
I 2nd -IV 1st – V7 1st inversion – I root
145e
i root -iv 2nd inversion – V 1st inversion – i root
145f
i root -iv 2nd inversion – V7 3rd inversion – i root
145g
i root -iv st inversion – V7 2nd inversion – i root

every example in one file

Discussion: The above illustrates the use of 17 edo within the context of common practice as developed for 12 notes per octave tuning. 17 works acceptably in this context. Adding a seventh or using inversions tends to soften the very sharp 423 cent major thirds. In the context of a minor key with the only major third being in the V to i the sharpness becomes an asset as a leading tone.