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We analyze the distribution of semiregular variables and Mira stars in theperiod-luminosity plane. Our sample consists of 6169 oxygen-rich long-periodvariables in the Large Magellanic Cloud included in the OGLE-III Catalog ofVariable Stars. There are many stars with periods that lie between the wellknown sequences C and C'. Most of these stars are multi-periodic and the periodratios suggest that these stars oscillate in the same mode as the sequence Cstars. Models suggest that this mode is the fundamental radial pulsation mode.The stars with primary periods between sequences C and C' preferentially lie onan additional sequence (named F), and a large fraction of these stars also havelong secondary periods that lie between sequences C and D. There are also asmall number of stars with primary periods lying between sequences C and D. Theorigin of this long period variability is unknown, as is the cause of sequenceD variability. In addition, the origin of sequence F is unknown but wespeculate that sequence F variability may be excited by the same phenomenonthat causes the long secondary periods.

Semiregular variables with periods lying between the period-luminosity sequences C', C and D