We have the vibrational frequencies of visible light ranging from red (lowest) to violet (highest). Then we have the higher and lower octaves of those vibrations, the infras and ultras. However, what isn't often related is that all the infras or ultras are their own range in a different octave. This means that visible red is of a higher vibration than all the infras, from infra-red to infra-violet. And that is because they are in different octaves.
The same is true of sounds in the octave notations.

However, one notable characteristic is that energy is not always linearly organised. For example, when looking at the relation between visible light and invisible light, instead of observing another red after the violet or another violet before the red, we find that, even using special instruments, the shades of colour do not exceed a certain spatial range. That is, the infra/ultra-red are close to the visible red, then followed by the infra/ultra-orange which are adjacent to the visible orange, and so on.

So, instead of a linear notation or arrangement that goes on forever, we seem to have a sort of transverse notation/arrangement where one octave seems to be next to the other and somehow inter-penetrating the others. Therefore, in roughly the same spatial range that we observe the visible light, we can by means of special instruments, observe multiple octaves of other scales of light.

So, that is how vibration seems to work. Now, in consideration of how the idea of dimensions seems to be getting a lot of traction. And, with the scientific understanding of how energy and vibration are fundamental to everything, is it possible that the multiple dimensions of which we attempt to conceive of have the same relation to our dimension that the lower and higher octave light frequencies have with visible light?