Appendix A. Quarter-Tone Note Names

Transcription

1 233 Appendx A Qurter-Tone Note Nmes The followng tble lsts ll possble note nmes, rngng from double flts to double shrps, for ech of the 24 possble ptch-clsses. Enhrmonclly equvlent note nmes pper on the sme row n the tble. pc C D E F G A B 0.0 Ct Do Be 0.5 Cr D Bw 1.0 Ce Du Bq 1.5 Cw Dy 2.0 Cq Dt Eo 2.5 Dr E 3.0 De Eu Fo 3.5 Dw Ey F 4.0 Dq Et Fu 4.5 Er Fy 5.0 Ee Ft Go 5.5 Ew Fr G 6.0 Eq Fe Gu 6.5 Fw Gy 7.0 Fq Gt Ao 7.5 Gr A 8.0 Ge Au 8.5 Gw Ay 9.0 Gq At Bo 9.5 Ar B 10.0 Co Ae Bu 10.5 C Aw By 11.0 Cu Aq Bt 11.5 Cy Br

2 234 Appendx B Conventonl Trds nd Seventh Chords wth Qurter-Tone Roots The exmples below gve the twelve trnspostons for mjor trds, mnor trds, domnnt seventh chords, hlf-dmnshed seventh chords, nd fullydmnshed seventh chords bult on qurter-tone roots. Chords gven n the sme mesure re enhrmonclly equvlent. Every mjor nd mnor trd cn be spelled n exctly two wys. Some chords, such s the Dw mjor trd, cnnot be relzed s stck of thrds wthout fve-qurters shrp ccdentl. Mjor Trds root:

3 235 Mnor Trds root: Domnnt Seventh Chords root:

4 236 Hlf-Dmnshed Seventh Chords root: Fully-Dmnshed Seventh Chords root:

5 237 Appendx C Neutrl Trds root:

6 238 Appendx D Trnspostons of Wyschnegrdsky s DC-scle The 24 trnspostons of Wyschnegrdky s dtonczed chromtc scle (or DC-scle) re lsted below, ordered n crcle of fourths s they pper n 24 Préludes dns l échelle chromtque dtonsée à 13 sons, op. 22 (see Chpter 5). Above the stves, I hve ndcted whch of the 24 Préludes s bsed on ech trnsposton: Prelude No. 1 uses the trnsposton strtng on Ct, Prelude No. 2 uses the trnsposton strtng on Fr, nd so on. Prelude No. 1 Prelude No. 2 Prelude No. 3 Prelude No. 4

7 239 Prelude No. 5 Prelude No. 6 Prelude No. 7 Prelude No. 8 Prelude No. 9 Prelude No. 10 Prelude No. 11 Prelude No. 12

8 240 Prelude No. 13 Prelude No. 14 Prelude No. 15 Prelude No. 16 Prelude No. 17 Prelude No. 18 Prelude No. 19 Prelude No. 20

9 241 Prelude No. 21 Prelude No. 22 Prelude No. 23 Prelude No. 24

10 242 Appendx E Selected Nottonl Exmples The followng four pges compre score smples from Blckwood, Háb, Ives, nd Wyschnegrdsky to ther equvlents n my nottonl scheme. As Chpter 2 shows, Blckwood s orgnl score uses hs specl up symbol () to modfy conventonl ccdentls; my trnscrpton substtutes qurter-tone ccdentls. The shpe of the qurter-tone ccdentls s the only dfference between Háb s orgnl verson nd my trnscrpton (see Tble 1.1). Ives s orgnl score s rrnged for pno duet where the pno prmo sounds one qurter-tone hgher tht wrtten; my trnscrpton trnsposes the notton of the prmo up by qurter tone nd rrnges the musc on sngle grnd stff. (My trnscrpton does not lwys lterlly trnspose the prmo by qurter tone. In m. 27, I substtute the enhrmonc equvlents Ey nd By for Dw nd Aw. See Chpter 4.) Wyschnegrdsky s score s publshed n two versons: performnce score rrnged for pno duet (here, the secondo sounds one qurter-tone lower thn wrtten), nd study score tht uses mcrotonl ccdentls. My trnscrpton substtutes substtutes the reversed flt (y) for Wyschnegrdsky s qurter-tone flt sgn (d).

11 p sempre legto Esley Blckwood, 24 notes, mm (orgnl notton) 24 p sempre legto Esley Blckwood, 24 notes, mm (trnscrbed)

12 244 h h h g mf cresc. g g g g g g g g f g g 6 g g gk gh g g g k k g g h g g f g g Alos Háb, Sute für ver Posunen m Verteltonsystem, Mvt. I, Mestoso (orgnl notton) mf cresc. f 6 f Alos Háb, Sute für ver Posunen m Verteltonsystem, Mvt. I, Mestoso (trnscrbed)

13 slower slower 30 mp mp Chrles Ives, Three Qurter Tone Peces, Mvt. III, Chorle, mm (orgnl notton) mp slower Chrles Ives, Three Qurter Tone Peces, Mvt. III, Chorle, mm (trnscrbed)

14 5 Ivn Wyschnegrdsky, Prelude No. 9, mm. 5-7 (orgnl performnce score notton) d d d d dd d dd d d d d d d d Ivn Wyschnegrdsky, Prelude No. 9, mm. 5-7 (orgnl study score notton) 5 Ivn Wyschnegrdsky, Prelude No. 9, mm. 5-7 (trnscrbed)