Piano Forum

Piano Street Magazine:
Watch the Chopin Competition 2025 with us!

Great news for anyone who loves Chopin’s music! Piano Street’s Chopin Competition tool now includes all 1,848 recorded performances from the Preliminary Round to Stage 3. Dive in and listen now! Read more

Topic: Mathematical fun with Music  (Read 4614 times)

Offline chopinetta

  • PS Silver Member
  • Sr. Member
  • ***
  • Posts: 402
Re: Mathematical fun with Music
Reply #50 on: May 24, 2005, 01:37:26 AM
well, I have to agree with cadenz. there are 10 possible arrangements of the repeated notes. why 10? simply put... C(5,2) by counting how many pairs are possible with 5 notes.

so taking the 1st scenario w/o repetitions. P(88,5)
2nd scenario w/ repetitions. 10P(88,4)

P(88,5) + 10P(88,4) = 5,260,743,840 possible motives. this is probably the "rightest" one so far.
"If I do not believe anymore in tears, it is because I see you cry." -Chopin to George Sand
"How repulsive this George Sand is! is she really a woman? I'm ready to doubt it."-Chopin on George Sand
For more information about this topic, click search below!

Piano Street Magazine:
From Sacile to Symphony Halls: The Fazioli Phenomenon

For Paolo Fazioli, music isn’t just a profession – it’s a calling. In connection with the introduction of Fazioli's new model F198 and the presentation of The Cremona Musica Award 2024, we had the opportunity to get an exclusive interview with the famous instrument creator and award winner. Read more