The thirteen numbers that are attributed to each day sign of the Tzolkin are reinvented as thirteen tones. This is an interesting idea, as there are thirteen black and white notes in a musical octave. (However, it must be noted that the Maya themselves didn't necessarily use tunings that fit to the western scale.) These tones or numbers are also given names that reflect Argüellés and Burrell's interpretation of their functions in this thirteen-note scale. This is called a wavespell, and is directly equivalent to a Mayan thirteen-day trecena. The number one becomes magnetic and the number two becomes lunar. The following table shows the names Dreamspell gives to the numbers and day signs of the Tzolkin, along with the keywords that describe their functions and energies.

The combination of these three elements — the color of the direction, the tone, and the day sign or seal — make up the components of the Dreamspell name or galactic signature, for example, Red Cosmic Serpent. Similar to the ancient Mayan tradition of naming a person after the day on which they are born, this galactic signature is a person's key to playing the game of Dreamspell. The purpose of this is not to win, as in a conventional game; it is to increase synchronization in a kind of cooperative play based around exploring the different harmonics of the calendar system. Doing this is supposed to allow the user to resynchronize with nature. This is a function of using the more natural timing system of the base twenty, vigesimal mathematics used by the Maya. Using the Dreamspell, Argüellés claims, leads to increases in the personal experience of synchronicity and, ultimately, to a kind of telepathy and the liberation of human culture from the materialism of history. Dreamspell is seen as a kind of remedial program in which the keys of the Mayan calendar are represented in such a way that they can become planetary in scope and appeal.