These increasing and reductional mappings were not modeled by Dembski.

(ibid, p.115) This nested quality resembles Fred Lerdahl's "reductional format" for pitch space from the bottom up:

The rec12 null and active site mutants are achiasmatic and, as anticipated, Rec12-dependent crossovers (chiasmata) are required to ensure proper reductional chromosome segregation in MI.

Deutsch and Feroe (1981), and Lerdahl and Jackendoff (1983) use a "reductional format" to represent the perception of pitch class relations in tonal contexts.

Meiosis I separates homologous chromosomes, producing two haploid cells (N chromosomes, 23 in humans), and thus meiosis I is referred to as a reductional division.

Rec12 also has two roles in reductional chromosome segregation during MI: First, catalytically-active Rec12 is required for normal levels of reductional (chiasmatic) segregation.

Since PSS does not occur in rec12 null mutants [ 52 ] , those centromere-homozygous chromosomes must have experienced a proper reductional segregation and a failed equational segregation (discussed below).

If chromosomes segregated aberrantly during the MI reductional division, and then segregated appropriately during the equational division of MII, one would expect sister spores to receive identical complements of chromosomes.

Weismann worked on the embryology of sea urchin eggs, and in the course of this observed different kinds of cell division, namely equatorial division and reductional division, terms he coined ('Äquatorialteilung' and 'Reduktionsteilung' respectively).

In the absence of PSS, which does not occur at significant levels in rec12 mutants [ 52 ] , such mixed segregation patterns can only be generated by a combination of errors in both reductional and equational segregation.

In meiosis I (MI) homologous chromosomes segregate from their partners in a reductional division, and during meiosis II (MII) sister chromatids segregate from one-another in an equational division similar to mitosis.

This indicates that about 95% of those rec12-Y98F mutant cells that produced diploid spores must have successfully completed the reductional segregation of chromosomes (MI) and failed to properly segregate sister chromatids during the equational division (MII).