N.B.--The letters are only `barred' as here marked. They may often be yoked in other ways: e.g., in Ex. (2), the first `on' above may be yoked to the `on' below; in Ex. (3), (4), the second `in' above may be yoked to the `in' below; in Ex. (5), the `at' above may be yoked to the first `at' below; and, in Ex. (6), the `ng' above may be yoked to the second `ng' below.

Observe that, in Ex. (5), the reason why `at' is barred, is that the words become, when the suffixes are removed, `inflate' and `satiate', which end with the same 3 letters. Similarly in Ex. (6), `plunge' and `change' end with the same 3 letters. But in the words `plunges' and `singer', the `ng' is not barred, since the words `plunge' and `sing' do not end with the same letters.

RULE 5

Nouns and verbs are not to be regarded as prefixes or suffixes.

Thus `landlord (and) handmade' would be a lawful Syzygy.

RULE 6

The letters `i' and `y' may be treated as if identical. Thus `busy (usy) using' would be a lawful Syzygy.

RULE 7

The Score for a Chain may be calculated by writing down 7 numbers, as follows:--

(1) The greater No. of letters in an end-Syzygy, plus twice the least.
(2) The least No. of letters in a Syzygy.
(3) The sum of (1) plus the product of the two numbers next above (2).
(4) The No. of Links.
(5) The No. of waste letters.
(6) The sum of twice (4) plus (5).
(7) The remainder left after deducting (6) from (3). If (6) be greater than (3), the remainder is written as `o'.

No. (7) is entered as the Score of the Chain.

Example to Rule 7

The figures on the right indicate the Nos. of waste letters.

WALRUS3
(rus)
peruse1
(per)
harper1
(arpe)
CARPENTER3

As the greatest No. of letters in an end-Syzygy is `4', and the least is `3', No. (1) is `10'. Also No. (2) is `3'. Hence No. (3) is the sum of `10' plus `4 times 5', i.e., it is `30'. Also there are 2 Links and 8 waste letters. Hence No. (4) is `2', No. (5) is `8'; and No. (6) is the sum of `twice 2' plus `8'; i.e., it is `12'. Hence No. (7) is the remainder after deducting `12' from `30'; i.e., it is `18'; which is the Score for the Chain.

The result may be conveniently recorded thus:--

10, 3, 30; 2, 8, 12; 18.

The formula for the Score may, for the benefit of Algebraists, be stated thus:--

Let a=greatest No. of letters in an end-Syzygy.
b=least do.
m=least No. in a Syzygy;
l=No. of Links;
w=No. of waste letters:

then the Score = (a+2b) (m+1) (m+2) - (21+w).

3. RULES FOR SCORING CHAINS

RULE 1


  By PanEris using Melati.

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