When elements are arranged in the order of increasing atomic masses, the properties of the first element is similar to those of the eighth element like with musical notes' — this law is known as:
Newlands law of octaves
Early attempts to classify the elements looked for periodicity in their properties when arranged in some systematic order of atomic mass.
In 1865 the British chemist John Alexander Reina Newlands, arranging the then-known elements in order of increasing atomic mass, observed that the properties of every eighth element resembled those of the first. Drawing an analogy with the seven notes of a musical scale that repeat at the octave, he called this the Law of Octaves.
Dobereiner’s Law of Triads (1817) grouped elements in threes where the middle atomic mass was the arithmetic mean of the other two; Mendeleev’s periodic law (1869) arranged elements by atomic mass in a full periodic table; Moseley’s modern periodic law (1913) arranged elements by atomic number.
Hence, Newlands law of octaves.
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