- taotile [or quartisextile], 15º
- (penta)taotile [or (penta)quartisextile], 75º
- (hepta)taotile [or (hepta)quartisextile], 105º
- (undeca)taotile [or (undeca)quartisextile], 165º
In her book "Aspects and Personality" (1982), Karen Hamaker-Zondag calls 'tao' the aspect of 165º (11x15º), which is very appropriate because of its Zen activity.
The taotile aspect (harmonic 24) belongs to the family of talent aspects, which derive from the division of the circle (360º) by the number 3, as the trine (harmonic 3), the sextile (harmonic 6), the semisextile and quincunx (harmonic 12).
However, among the multiple ways in which the number 24 can be decomposed, the two that best allows to understand its meaning are 3 * 8, because it shows the talent of number 3 (trine) with the alert states of the number 8 (semisquare or octile and sesquicuadrate or trioctile), which allows to do the tasks that normally are carried out automatically, in an alert and aware state of consciousness (Zen activity) or very carefully (for example, when cutting with a very sharp knife; when passing with the car in a very narrow area, or when a conversation gets into delicate subjects); and 2 * 12, because it shows the great sensitivity and capacity for conscious adaptation of the number 12 (semisextile and quincunx) applied to situations of number 2 (opposition), in which two elements are placed facing each other and can force or block the other.
The asteroid (14827) Hypnos is in 5:24 resonance with the Earth-Moon system.
Emma Stone, actress of the movie "Easy A" (2010), has two triangular aspect patterns with a square as common aspect, formed by Mars-Aries Point in the 12th Moon-Node House and the conjunction Saturn-Uranus in the 3rd Moon-Node House. This square forms a semi-square and a sesquicuadrate with the Sun in the 5th Moon-Node House (which is in conjunction with Pluto), and a sextile and a quincunx with Mercury in the 5th moon-Node House. The two figures are linked together by a taotile between the Sun and Mercury.
