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2007)PhD thesis: Emilia Gómez’s 2006)PhD thesis: Tonal description of musicaudio signals1988), 3

TIDVS II, IV TT→D→TT→S→D→TT→S→TT→D→S→T 1. I V72. II V(7)3. TIIIIVI→III→IVDIIITIVI4. IVIII(7)V(7)5. V(7)TIVI6. TVIIV7SVII7. VIITIVI 5

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! A = {a ij}= ! 0.4 0.3 0.3$#0.2 0.6 0.2&#&"#0.1 0.1 0.8%&{P[3]*P[3|3]**P[3|3]*P[1|3]*P[3|1]*P[2|3]*P[3|2]=1*0.8*0.8*0.1*0.4*0.3*0.1*0.2=1.536*10 -4= 4.57*10 -4 14

Bakis [] a, b ! 0.3 0.5 0.2 0 0 $#0 0.2 0.6 0.2 0&#&A = {a ij}= # 0 0 0.4 0.3 0.3&#0 0 0 0.5 0.5&#&" 0 0 0 0 1.0%aba ! P(y | M) =# ! P(q it| q it $1, M)" P(y t| q it $1,q it, M)i 0,i1"""iTt15

! P(y | M) = # ! P(q it| q it $1, M)" P(y t| q it $1,q it, M)i 0,i1"""iT t P1=0.3×0.7×0.2×0.5×0.3×0.6 = 0.00378P2=0.5×0.8×0.6×0.6×0.3×0.6 = 0.02592P3=0.5×0.8×0.2×0.7×0.5×0.4 = 0.0112P4=0.2×0.5×0.4×0.1×0.3×0.6 = 0.00072P5=0.2×0.5×0.3×0.4×0.5×0.4 = 0.0024P6=0.2×0.5×0.3×0.4×1.0×0.1 = 0.0012Paba|P1+P2+P3+P4+P5+P6 = 004522! ! ! ! 16

S(k,l) !S(k,l) = max(sim(i, j,k,l) + S(i, j)) 17

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R * = argmax P R L IOI (# t ,$ t )R"M RT%t=1!P R R θtφt L IOI ( θ t , φ t ) 20

Ken'ichi Toyoda, Kenzi Noike, and Haruhiro Katayose: Utility System forConstructing Database of Performance Deviations, Proc. ISMIR2004, pp.373-380 (2004.10)R * = argmax P R L IOI (# t ,$ t )R"M RT%t=1!R * = argmax P R # P P # P VR"M R ,P"M P ,V "M VT$t=1L P IOI # L ratio # L Vvel!21

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