English: Solar eclipses AD 1600-2400, showing inex number and type

Various series can be seen:

The octon series slope steeply toward the upper right, recurring every 3.8 years, lasting some 80 years.

The tritos series slope gently toward upper right, recurring every 11 years for around 700 years.

Inex series consist of eclipses at constant inex number (so horizontal in the graph), recurring every 29 years for thousands of years (except that some series with inex number below 30 or above 80 are interrupted).

The series sloping gently downwards to the right are the saros series, recurring every 18 years for hundreds of years. The color (type of eclipse) stays the same for long stretches.

The tzolkinex series slope down to the right at about 45°, recurring every 7 years for a couple centuries.

The hepton series slope steeply down, recurring every 3.3 years for 30 some years.

It is rare for two eclipses to be separated by seven months (with another between them), but we see a few examples, such as in 1902 going from inex number 92 to inex number 23, and in 2098 going from 82 to 13.