aP. Pracna, G. Graner, J. Cosl\'eou, J. Demaison, G. Wlodarczak, V.-M. Horneman, and M. Koivusaari, J. Mol. Spectrosc. 206, (2001) 150-157; H. S. P. M\""uller, P. Pracna, et al., unpublished bH. S. P. M\""uller, P. Pracna, and V.-M. Horneman, J. Mol. Spectrosc. 216, (2002) 397-407Author Institution: I. Physikalisches Institut, Universit\""at zu K\""oln; I. Physikalisches Institut, Academy of Sciences of the Czech Republic; I. Physikalisches Institut, 90014 University of Oulu; I. Physikalisches Institut, Justus-Liebig-Universit\""atA large body of very accurate (mostly 10-20 kHz) rotational transitions within the 10μm tetrad of the strongly prolate symmetric rotor propyne, H3​C−C≡CH, had been recorded in order to analyze some weaker resonances.a The analysis, in particular for higher K transitions, indicated new problems: Interactions of members of the 10μm tetrad (v5​=1,v9​=v10​=1,v10​=3, and v8​=1) with those of the 15μm dyad (v9​=1 and v10​=2). More than 300 rotational transitions within v10​=1(Evib​=330.9cm−1) have been recorded with J′′≤53 and −11≤K⋅l10​≤+16 for a more systematic investigation into the lower excited vibrational states of propyne. Even the inclusion of many high order terms prevented the highest K transitions to be fit within experimental uncertainties, in particular those having K⋅l10​≤0. Inclusion of ν10​ IR transitions from a reanalysis of the spectrum that was used in the study of the 10μmtetrada confirmed these findings. It turned out that the first order energies of the K⋅l10​=−12 levels coincide to within 1cm−1 with those of the overtone v10​=2,K=12 of the l10​=+2 substate. A weaker Coriolis interaction occurs between v10​=1,K⋅l10​=−11 and v9​=1,K⋅l9​=+10.b Meanwhile, the investigation of v10​=1 has been completed, and those of v9​=1 and v10​=2 have begun. Fermi-type interactions occur between the states v10​=2 and 3 and between v9​=1 and v9​=v10​=1. Among the Coriolis resonances, the one between v10​=2,l10​=−2 and v5​=1 permitted intervibrational transitions to be detected in the submillimeter region. These interactions are expected to improve A,DK​, etc. for v=0. Selected details of our ongoing analyses will be presented. In addition, the relevance of these types of interactions for other symmetric top molecules will be discussed