JulioHerrlein Posted December 8, 2017 Posted December 8, 2017 Dear Friends, I'm working with pcs now. A lot of pcs have inverted forms. For example: Pcs 3-11 correspond to the minor triad (037) and also the major triad (047) since both have the same interval vector. But when I evaluate the expression below, I get only the prime form (037) and not the IF (047). Is it possible to retrieve also the inverted form, like the example below ? (setf pcset (pcs '3-11)) >> (0 4 7) ??? Thanks a lot Quote
opmo Posted December 8, 2017 Posted December 8, 2017 (pcs-analysis '(0 3 7)) ? pcs-analysis Sequence: (0 3 7) Set: 3-11 Prime Form: (0 3 7) Pitch: (c4 eb4 g4) Normal Order: (0 3 7) Complement: (1 2 4 5 6 8 9 10 11) Inversion: (0 9 5) Vector: (0 0 1 1 1 0) (pcs-analysis '(0 4 7)) ? pcs-analysis Sequence: (0 4 7) Set: 3-11 Prime Form: (0 3 7) Pitch: (c4 eb4 g4) Normal Order: (0 4 7) Complement: (1 2 3 5 6 8 9 10 11) Inversion: (0 8 5) Vector: (0 0 1 1 1 0) Note: The pitch output form PCS-ANALYSIS is the pitch form prime form. JulioHerrlein 1 Quote
JulioHerrlein Posted December 8, 2017 Author Posted December 8, 2017 Really Cool, Janusz ! But what I was refering would be getting the inverted form from the Forte Number, i.e., from 3-11 and not the opposite, informing the integer list and getting all the info, although this can be very useful too. In my book, I specify this by adbing a "b" after the set: 3-11 = 037 3-11b = 047 like this, from http://composertools.com/Tools/PCSets/PCSRelations.html Best ! Julio Quote
opmo Posted December 8, 2017 Posted December 8, 2017 To do this I would need to rewrite the pitch class set functions. The functions where based on Allen Forte 'The Structure of Atonal Music' book. JulioHerrlein 1 Quote
opmo Posted December 9, 2017 Posted December 9, 2017 I will add the inverted form into to the system with the next update. Stephane Boussuge, loopyc and JulioHerrlein 2 1 Quote
JulioHerrlein Posted December 9, 2017 Author Posted December 9, 2017 Very cool, Janusz! Im doing my doctoral dissertation now and I'm doing some thing interesting related to rhythm that certainly could be transformed in a function. I'll tell you soon. This Will be useful there. Best Julio loopyc 1 Quote
JulioHerrlein Posted December 9, 2017 Author Posted December 9, 2017 It's a really interesting issue to study the different approaches of the post tonal Theory. The more hardcore atonal side does not consider prime and inverted form as different things, ontologically but in fact, our tonal oriented ear really can tell the difference between a major and a minor triad as a clear episthemological distinction. Counting or not counting the inverted forms also have implications on the Problems of enumeration of the types of series, as Frippertinger & Lackner recent studies related to group theory and a more modern approach to Hauer Tropes demonstrates. Best Julio lviklund and loopyc 2 Quote
Stephane Boussuge Posted December 9, 2017 Posted December 9, 2017 3 hours ago, JulioHerrlein said: It's a really interesting issue to study the different approaches of the post tonal Theory. The more hardcore atonal side does not consider prime and inverted form as different things, ontologically but in fact, our tonal oriented ear really can tell the difference between a major and a minor triad as a clear episthemological distinction. Counting or not counting the inverted forms also have implications on the Problems of enumeration of the types of series, as Frippertinger & Lackner recent studies related to group theory and a more modern approach to Hauer Tropes demonstrates. Best Julio I agree totally !!! S. JulioHerrlein 1 Quote
JulioHerrlein Posted December 11, 2017 Author Posted December 11, 2017 Thanks, Stephane ! Nice to hear from you. Quote
opmo Posted December 11, 2017 Posted December 11, 2017 The PCS-ANALYSIS function returns two more results: inverted-form and interval-class: (pcs-analysis '(4 1 8 10 3 7)) => Sequence: (4 1 8 10 3 7) Set: 6-z29 Prime Form: (0 2 3 6 7 9) Inverted Form: nil Pitch: (c4 d4 eb4 fs4 g4 a4) Normal Order: (1 3 4 7 8 10) Complement: (0 2 5 6 9 11) Inversion: (8 11 4 2 9 5) Vector: (2 2 4 2 3 2) Interval Class: (3 5 2 5 4) (pcs-analysis '(0 3 7)) => Sequence: (0 3 7) Set: 3-11 Prime Form: (0 3 7) Inverted Form: (0 4 7) Pitch: (c4 eb4 g4) Normal Order: (0 3 7) Complement: (1 2 4 5 6 8 9 10 11) Inversion: (0 9 5) Vector: (0 0 1 1 1 0) Interval Class: (3 4) (pcs-analysis '(0 4 7)) => Sequence: (0 4 7) Set: 3-11b Prime Form: (0 3 7) Inverted Form: (0 4 7) Pitch: (c4 e4 g4) Normal Order: (0 4 7) Complement: (1 2 3 5 6 8 9 10 11) Inversion: (0 8 5) Vector: (0 0 1 1 1 0) Interval Class: (4 3) The new function PCS-FORMS takes care of both forms: prime-form and inverted-form. The inverted form set ends with letter b: (pcs-forms '((0 4 7) (0 3 7)) :type :set) => (3-11b 3-11) Stephane Boussuge, lviklund and JulioHerrlein 3 Quote
JulioHerrlein Posted December 11, 2017 Author Posted December 11, 2017 Really Cool, Janusz !! Thanks a lot. Can we do the reverse ? Typing the Forte code 3-11b and getting the integer list (0 4 7) ? Quote
opmo Posted December 11, 2017 Posted December 11, 2017 of course: (pcs '3-11b) => (0 4 7) INTERVAL-CLASS: (interval-class '(0 1 2 11 10 9 5 4 3 6 7 8)) => (1 1 3 1 1 4 1 1 3 1 1) (interval-class '(0 1 3 8 4 9 10 7 6 5 11 2)) => (1 2 5 4 5 1 3 1 1 6 3) (interval-class '(0 11 5 7 6 1 3 4 2 9 8 10)) => (1 6 2 1 5 2 1 2 5 1 2) JulioHerrlein and Stephane Boussuge 2 Quote
JulioHerrlein Posted December 11, 2017 Author Posted December 11, 2017 WOW !!! GREAT ! Thanks ! It was really a lot of work done ! Lots of sets, but it's really useful, I think. Best ! Julio This will be in the next release, I think. Looking Forward ! added 2 minutes later If you like Set Theory and Guitar, you gonna like my book. Please, Check it out ! https://www.melbay.com/Products/Default.aspx?bookid=30042BCDEB Best, Julio loopyc, Stephane Boussuge, opmo and 1 other 3 1 Quote
opmo Posted December 12, 2017 Posted December 12, 2017 Congratulation to your book, looks very good. JP JulioHerrlein 1 Quote
JulioHerrlein Posted December 12, 2017 Author Posted December 12, 2017 Thanks a lot, Janusz ! Best, Julio Quote
loopyc Posted December 13, 2017 Posted December 13, 2017 On December 11, 2017 at 9:15 AM, JulioHerrlein said: Please, Check it out ! https://www.melbay.com/Products/Default.aspx?bookid=30042BCDEB Best, Julio Going to, looks good...thanks for the notice ;-) JulioHerrlein 1 Quote
JulioHerrlein Posted December 17, 2017 Author Posted December 17, 2017 Thanks a lot LOOPYC! Hope you like it! Best Julio Quote
lviklund Posted December 17, 2017 Posted December 17, 2017 Nice work and a good companion to Allan Forte. /Lasse JulioHerrlein 1 Quote
loopyc Posted December 17, 2017 Posted December 17, 2017 15 hours ago, JulioHerrlein said: Thanks a lot LOOPYC! Hope you like it! Best Julio I opted for a 'physical copy', so will have to wait until Dec. 21st...just in time for a Christmas gift to myself ;-) JulioHerrlein 1 Quote
JulioHerrlein Posted December 17, 2017 Author Posted December 17, 2017 3 hours ago, Stephane Boussuge said: Hey, Stephane! Thank you! Hope you like it. What a lovely combination! I feel very honored with this picture! Best! Julio added 2 minutes later 4 hours ago, loopyc said: I opted for a 'physical copy', so will have to wait until Dec. 21st...just in time for a Christmas gift to myself ;-) Thank you, LOOPYC! It's really cool to have a physical book. Best regards and happy xmas to you! Best Julio Quote
JulioHerrlein Posted December 18, 2017 Author Posted December 18, 2017 12 hours ago, lviklund said: Nice work and a good companion to Allan Forte. /Lasse Thank you, Iviklund! Best Julio Quote
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